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The divisibility rules of every number from 1 to 50

1: Every number is a multiple of 1

2: The number ends in 0, 2, 4, 6 or 8

3: The sum of the digits is a multiple of 3

4: The last 2 digits are a multiple of 4

  • The 10s digit is even and the last digit is 0, 4 or 8
  • The 10s digit is odd and the last digit is 2 or 6

5: The number ends in 0 or 5

6: The number is a multiple of 2 and 3 at the same time

7: The difference between twice the last digit and the rest of the number is a multiple of 7

8: The last 3 digits are a multiple of 8

  • The 100s digit is even and the last 2 digits are a multiple of 8
  • The 100s digit is odd and the last 2 digits are 4 times an odd number

9: The sum of the digits is a multiple of 9

10: The number ends in 0

11: The difference between the last digit and the rest of the number is a multiple of 11

12: The number is a multiple of 3 and 4 at the same time

13: The sum of 4 times the last digit and the rest of the number is a multiple of 13

14: The number is a multiple of 2 and 7 at the same time

15: The number is a multiple of 3 and 5 at the same time

16: The last 4 digits are a multiple of 16

  • The 1,000s digit is even and the last 3 digits are a multiple of 16
  • The 1,000s digit is odd and the last 3 digits are 8 times an odd number

17: The difference between 5 times the last digit and the rest of the number is a multiple of 17

18: The number is a multiple of 2 and 9 at the same time

19: The sum of twice the last digit and the rest of the number is a multiple of 19

20: The number ends in 00, 20, 40, 60 or 80

21: The number is a multiple of 3 and 7 at the same time

22: The number is a multiple of 2 and 11 at the same time

23: The sum of 7 times the last digit and the rest of the number is a multiple of 23

24: The number is a multiple of 3 and 8 at the same time

25: The number ends in 00, 25, 50 or 75

26: The number is a multiple of 2 and 13 at the same time

27: The difference between 8 times the last digit and the rest of the number is a multiple of 27

28: The number is a multiple of 4 and 7 at the same time

29: The sum of thrice the last digit and the rest of the number is a multiple of 29

30: The number is a multiple of 3 and 10 at the same time

31: The difference between thrice the last digit and the rest of the number is a multiple of 31

32: The last 5 digits are a multiple of 32

  • The 10,000s digit is even and the last 4 digits are a multiple of 32
  • The 10,000s digit is odd and the last 4 digits are 16 times an odd number

33: The number is a multiple of 3 and 11 at the same time

34: The number is a multiple of 2 and 17 at the same time

35: The number is a multiple of 5 and 7 at the same time

36: The number is a multiple of 4 and 9 at the same time

37: The difference between 11 times the last digit and the rest of the number is a multiple of 37

38: The number is a multiple of 2 and 19 at the same time

39: The number is a multiple of 3 and 13 at the same time

40: The last 3 digits are a multiple of 40

  • The 100s digit is even and the last 2 digits are 00, 40 or 80
  • The 100s digit is odd and the last 2 digits are 20 or 60

41: The difference between 4 times the last digit and the rest of the number is a multiple of 41

42: The number is a multiple of 2, 3 and 7 at the same time

43: The sum of 13 times the last digit and the rest of the number is a multiple of 43

44: The number is a multiple of 4 and 11 at the same time

45: The number is a multiple of 5 and 9 at the same time

46: The number is a multiple of 2 and 23 at the same time

47: The difference between 14 times the last digit and the rest of the number is a multiple of 47

48: The number is a multiple of 3 and 16 at the same time

49: The sum of 5 times the last digit and the rest of the number is a multiple of 49

50: The number ends in 00 or 50

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