programming python Divisible in Python

Hướng dẫn write a program to check whether a number is divisible by 7 or not in python - viết chương trình kiểm tra một số có chia hết cho 7 hay không bằng python

Cải thiện bài viết

Lưu bài viết

Với một loạt các số, nhiệm vụ là viết một chương trình Python để tìm các số chia cho 7 và bội số 5.

Example:

Input:Enter minimum 100
Enter maximum 200

Output:
105  is divisible by 7 and 5.
140  is divisible by 7 and 5.
175  is divisible by 7 and 5.


Input:Input:Enter minimum 29
Enter maximum 36

Output:
35  is divisible by 7 and 5.

Một tập hợp các số nguyên có thể được kiểm tra tính phân chia cho 7 và 5 bằng cách thực hiện hoạt động modulo của số với 7 và 5 tương ứng, sau đó kiểm tra phần còn lại. Điều này có thể được thực hiện theo những cách sau: & nbsp;

Python3

start_num = 

35  is divisible by 7 and 5.
0
35  is divisible by 7 and 5.
1__12

35  is divisible by 7 and 5.
4= 
35  is divisible by 7 and 5.
0
35  is divisible by 7 and 5.
1
35  is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0____9 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
2

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
3 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
4= 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
6

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0
 10.a + b
0 
 10.a + b
1 == 
 10.a + b
4 
 10.a + b
5 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0
 10.a + b
0 
 10.a + b
8

 20.a + 2.b
3
 20.a + 2.b
4
 20.a + 2.b
5
 20.a + 2.b
6
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0____50509 
 21.a - a + 2.b
2

Output:

35  is divisible by 7 and 5.

Điều này cũng có thể được thực hiện bằng cách kiểm tra xem số có chia hết cho 35 hay không, vì LCM là 7 và 5 là 35 và bất kỳ số nào chia hết cho 35 đều chia hết cho 7 và 5 và ngược lại. & NBSP;

Python3

‘

35  is divisible by 7 and 5.
4= 
35  is divisible by 7 and 5.
0
35  is divisible by 7 and 5.
1
 -a + 2b
3
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0____9 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
2

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
3 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
4= 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
6

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0
 10.a + b
0 
 10.a + b
1 == 
 10.a + b
4 
 10.a + b
5 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0
 10.a + b
0 
 10.a + b
8

 20.a + 2.b
3
 20.a + 2.b
4
 20.a + 2.b
5start_num 4
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
0____50509 
 21.a - a + 2.b
2

Output:

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
70
 21.a - a + 2.b
71
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
75
35  is divisible by 7 and 5.
0
 21.a - a + 2.b
777
 10.a + b
1 
 21.a - a + 2.b
79
 10.a + b
4
 21.a - a + 2.b
81

Is
A simple method is repeated subtraction. Following is another interesting method.
Divisibility by 7 can be checked by a recursive method. A number of the form 10a + b is divisible by 7 if and only if a – 2b is divisible by 7. In other words, subtract twice the last digit from the number formed by the remaining digits. Continue to do this until a small number. 
Example: the number 371: 37 – [2×1] = 37 – 2 = 35; 3 – [2 × 5] = 3 – 10 = -7; thus, since -7 is divisible by 7, 371 is divisible by 7. 
Following is the implementation of the above method 
 

C++

=1

=2 =3 =4

35  is divisible by 7 and 5.
0 =6
35  is divisible by 7 and 5.
0 =8

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
02

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
05

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
08

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
11

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
14

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
17

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
20

35  is divisible by 7 and 5.
21
35  is divisible by 7 and 5.
22

35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
0 
35  is divisible by 7 and 5.
25

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
35  is divisible by 7 and 5.
29

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
32

 20.a + 2.b
3
35  is divisible by 7 and 5.
34
35  is divisible by 7 and 5.
35 
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38

 20.a + 2.b
3
35  is divisible by 7 and 5.
34
35  is divisible by 7 and 5.
41 
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
17

35  is divisible by 7 and 5.
23

C

35  is divisible by 7 and 5.
47

35  is divisible by 7 and 5.
0 =6
35  is divisible by 7 and 5.
0 =8

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
02

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
05

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
08

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
11

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
14

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
17

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
20

35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
0 
35  is divisible by 7 and 5.
25

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
35  is divisible by 7 and 5.
29

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
32

 20.a + 2.b
3
35  is divisible by 7 and 5.
34
35  is divisible by 7 and 5.
35 
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38

 20.a + 2.b
3
35  is divisible by 7 and 5.
34
35  is divisible by 7 and 5.
41 
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
17

35  is divisible by 7 and 5.
23

C

35  is divisible by 7 and 5.
0 =6
35  is divisible by 7 and 5.
0 =8

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
73

=9

 20.a + 2.b
3
35  is divisible by 7 and 5.
85
35  is divisible by 7 and 5.
86
35  is divisible by 7 and 5.
35 
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7=9

 20.a + 2.b
3
35  is divisible by 7 and 5.
85
35  is divisible by 7 and 5.
86
35  is divisible by 7 and 5.
41 
35  is divisible by 7 and 5.
88

Java

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
00 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
01

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
03

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
07 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
08____10 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
10

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
15
 10.a + b
4 
35  is divisible by 7 and 5.
3

35  is divisible by 7 and 5.
21
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
05

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
23
 10.a + b
4 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
25
 10.a + b
1 
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7=9

35  is divisible by 7 and 5.
21
35  is divisible by 7 and 5.
04 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
30
35  is divisible by 7 and 5.
36

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
68

35  is divisible by 7 and 5.
21
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
70
35  is divisible by 7 and 5.
35
35  is divisible by 7 and 5.
88

 20.a + 2.b
3
35  is divisible by 7 and 5.
38

35  is divisible by 7 and 5.
21
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
70
35  is divisible by 7 and 5.
41
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
23

Python3

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
15
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
35 
35  is divisible by 7 and 5.
3

35  is divisible by 7 and 5.
21
35  is divisible by 7 and 5.
04 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
39
35  is divisible by 7 and 5.
36

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
43
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
35 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
45
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
46

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
58

 20.a + 2.b
3
35  is divisible by 7 and 5.
0 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
63
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
64
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
82 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
83

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
86
 10.a + b
4 
 20.a + 2.b
2

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 =6
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
929____98

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
96==

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
 10.a + b
39

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
 10.a + b
08

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
15
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
35 
 10.a + b
05

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
 10.a + b
16

C#

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
 10.a + b
19
 10.a + b
20______320

 10.a + b
01= 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
64

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
 20.a + 2.b
4 
35  is divisible by 7 and 5.
1
35  is divisible by 7 and 5.
35
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7=9

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
02

35  is divisible by 7 and 5.
38 
 20.a + 2.b
2

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
08

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
03

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
14

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
15
 10.a + b
4 
35  is divisible by 7 and 5.
3

35  is divisible by 7 and 5.
21
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
05

 10.a + b
87
 10.a + b
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
23
 10.a + b
4 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
25
 10.a + b
1 
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7=9

35  is divisible by 7 and 5.
21
35  is divisible by 7 and 5.
04 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
30
35  is divisible by 7 and 5.
36

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
68

35  is divisible by 7 and 5.
21
 20.a + 2.b
05
35  is divisible by 7 and 5.
35
35  is divisible by 7 and 5.
88

 20.a + 2.b
3
35  is divisible by 7 and 5.
38

35  is divisible by 7 and 5.
21
 20.a + 2.b
05
35  is divisible by 7 and 5.
41
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
15
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
35 
35  is divisible by 7 and 5.
3

35  is divisible by 7 and 5.
21
35  is divisible by 7 and 5.
04 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
39
35  is divisible by 7 and 5.
36

 20.a + 2.b
17

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
43
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
35 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
45
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
46

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
58

 20.a + 2.b
3
35  is divisible by 7 and 5.
0 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
63
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
64
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
82 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
83

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
11

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
86
 10.a + b
4 
 20.a + 2.b
2

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
17

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 =6
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
929____98

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
96==

35  is divisible by 7 and 5.
23

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
 10.a + b
08

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
15
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
35 
 10.a + b
05

 20.a + 2.b
3
 20.a + 2.b
72
35  is divisible by 7 and 5.
1
35  is divisible by 7 and 5.
35
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38

 20.a + 2.b
3
 20.a + 2.b
72
35  is divisible by 7 and 5.
1
35  is divisible by 7 and 5.
41
35  is divisible by 7 and 5.
88

 20.a + 2.b
83

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
 10.a + b
16

 20.a + 2.b
84

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
 10.a + b
19
 10.a + b
20______320

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
02

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
05

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
08

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
11

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
35  is divisible by 7 and 5.
14

 20.a + 2.b
3
35  is divisible by 7 and 5.
04 
35  is divisible by 7 and 5.
17

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
04 
 10.a + b
86

 20.a + 2.b
56
 21.a - a + 2.b
10

35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
 21.a - a + 2.b
13

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8
 21.a - a + 2.b
16

 20.a + 2.b
3
 21.a - a + 2.b
18
35  is divisible by 7 and 5.
35
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38

 20.a + 2.b
3
 21.a - a + 2.b
18
35  is divisible by 7 and 5.
41
35  is divisible by 7 and 5.
88

 21.a - a + 2.b
27

Độ phức tạp về thời gian: O [logn]O[logn]

Không gian phụ trợ: O [LOGN]O[logn]

Cái này hoạt động ra sao? Đặt 'B' là chữ số cuối cùng của một số 'n' và đặt 'A' là số chúng ta nhận được khi tách ra 'B'. & NBSP; biểu diễn của số cũng có thể được nhân với bất kỳ số nào tương đối Ưu điểm mà không thay đổi tính chia rẽ của nó. Sau khi quan sát rằng 7 phân chia 21, chúng ta có thể thực hiện như sau: & nbsp; Let ‘b’ be the last digit of a number ‘n’ and let ‘a’ be the number we get when we split off ‘b’. 
The representation of the number may also be multiplied by any number relatively prime to the divisor without changing its divisibility. After observing that 7 divides 21, we can perform the following: 

 10.a + b

Sau khi nhân với 2, điều này trở thành & nbsp; & nbsp;
 

 20.a + 2.b

và sau đó & nbsp; & nbsp;
 

 21.a - a + 2.b

Loại bỏ bội số của 21 cho & nbsp; & nbsp;
 

 -a + 2b

và nhân với -1 cho & nbsp; & nbsp;
 

 a - 2b

Phương pháp: Để kiểm tra số đã cho là chia hết cho 7 hoặc không bằng cách sử dụng toán tử phân chia modulo. & nbsp; To check given number is divisible by 7 or not by using modulo division operator “%”.  

C++

=1

=2 =3 =4

35  is divisible by 7 and 5.
0 
35  is divisible by 7 and 5.
25

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
37

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
40

 20.a + 2.b
3
 21.a - a + 2.b
42
 21.a - a + 2.b
43
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38 =9

 20.a + 2.b
3
 21.a - a + 2.b
42
 21.a - a + 2.b
52
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
23

Java

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
00 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
01

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
 10.a + b
55

 21.a - a + 2.b
61
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
 21.a - a + 2.b
65

 21.a - a + 2.b
61=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
70
 21.a - a + 2.b
71
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
75
35  is divisible by 7 and 5.
0
 21.a - a + 2.b
777
 10.a + b
1 
 21.a - a + 2.b
79
 10.a + b
4
 21.a - a + 2.b
81

 21.a - a + 2.b
82
 21.a - a + 2.b
83
 21.a - a + 2.b
43
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38 =9

 21.a - a + 2.b
82
 21.a - a + 2.b
83
 21.a - a + 2.b
52
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

 21.a - a + 2.b
61
35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
23

Python3

 -a + 2b
00=
 21.a - a + 2.b
71

Java

 21.a - a + 2.b
61
 20.a + 2.b
4
35  is divisible by 7 and 5.
1
 21.a - a + 2.b
43
35  is divisible by 7 and 5.
3

35  is divisible by 7 and 5.
38
 20.a + 2.b
2

 21.a - a + 2.b
61
 20.a + 2.b
4
35  is divisible by 7 and 5.
1
 21.a - a + 2.b
52
35  is divisible by 7 and 5.
3

C#

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
00 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
01

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
 10.a + b
55

 21.a - a + 2.b
61
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
 21.a - a + 2.b
65

 21.a - a + 2.b
61=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
37

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
40

 21.a - a + 2.b
82
 20.a + 2.b
05
 21.a - a + 2.b
43
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38 =9

 21.a - a + 2.b
82
 20.a + 2.b
05
 21.a - a + 2.b
52
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

 21.a - a + 2.b
61
35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
23

Java

 20.a + 2.b
84

 -a + 2b
63
 -a + 2b
64

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
00 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
01

 -a + 2b
68
 21.a - a + 2.b
18
 21.a - a + 2.b
43
35  is divisible by 7 and 5.
3

 -a + 2b
63
35  is divisible by 7 and 5.
38

 -a + 2b
68
 21.a - a + 2.b
18
 21.a - a + 2.b
52
35  is divisible by 7 and 5.
3

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
 10.a + b
55

 21.a - a + 2.b
61
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
 21.a - a + 2.b
65

 20.a + 2.b
17

 21.a - a + 2.b
61
 -a + 2b
82
 -a + 2b
83

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
70
 21.a - a + 2.b
71
35  is divisible by 7 and 5.
36

=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
75
35  is divisible by 7 and 5.
0
 21.a - a + 2.b
777
 10.a + b
1 
 21.a - a + 2.b
79
 10.a + b
4
 21.a - a + 2.b
81

35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
38

=9

Is

 a - 2b
00

 20.a + 2.b
83

=2 

 10.a + b
53 Checking given number is divisible by 7 or not using modulo division.

C++

 a - 2b
02

=2 =3 =4

35  is divisible by 7 and 5.
0 
35  is divisible by 7 and 5.
25

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
37

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
40

 20.a + 2.b
3
35  is divisible by 7 and 5.
34
 a - 2b
16
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38 =9

 20.a + 2.b
3
35  is divisible by 7 and 5.
34
 a - 2b
25
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

Java

35  is divisible by 7 and 5.
23

Java

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
00 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
01

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
 10.a + b
55

 21.a - a + 2.b
61
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
 21.a - a + 2.b
65

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
70
 21.a - a + 2.b
71
35  is divisible by 7 and 5.
36

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
75
35  is divisible by 7 and 5.
0
 21.a - a + 2.b
777
 10.a + b
1 
 21.a - a + 2.b
79
 10.a + b
4
 21.a - a + 2.b
81

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
70
 a - 2b
16
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38 =9

 20.a + 2.b
3
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
70
 a - 2b
25
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
23

C#

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
00 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
01

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
 10.a + b
55

 21.a - a + 2.b
61
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
 21.a - a + 2.b
65

 21.a - a + 2.b
61=9

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
0 
 21.a - a + 2.b
37

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
8 
 21.a - a + 2.b
40

 21.a - a + 2.b
82
 a - 2b
92
 a - 2b
16
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
38 =9

 21.a - a + 2.b
82
 a - 2b
92
 a - 2b
25
35  is divisible by 7 and 5.
88

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
35  is divisible by 7 and 5.
23

 21.a - a + 2.b
61
35  is divisible by 7 and 5.
23

35  is divisible by 7 and 5.
23

Python3

Java

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
00 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
01

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
7
 20.a + 2.b
4
35  is divisible by 7 and 5.
1start_num 23
35  is divisible by 7 and 5.
3

35  is divisible by 7 and 5.
38
 20.a + 2.b
2

70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
02 
 10.a + b
55

 21.a - a + 2.b
61
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
55 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
06 
70 is divisible by 7 and 5.
105 is divisible by 7 and 5.
140 is divisible by 7 and 5.
57 
 21.a - a + 2.b
65
References: 
//en.wikipedia.org/wiki/Divisibility_rule
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
 

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