Divisibility rule > A divisibility rule is a shorthand way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by examining its digits.  1> Any Integer is divisible by 1 2> The last digit of the number is even or 0 3> The sum of the digits is divisible by 3 4> The last two digits form a number divisible by 4 5> The last digit is a 5 or 0 6> The number is divisible by both 3 AND 2 8> The last three digits form a number divisible by 8 9> The sum of the digits is divisible by 9 10> The number ends in 0

1. DIVISIBILITY
RULE
DIVINE TAMAYO

2. A divisibility rule is a shorthand
way of determining whether a
given integer is divisible by a
fixed divisor without performing the
division, usually by examining its
digits.

3. 1 Any Integer is divisible by 1
Divisible by: Rule

4. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
Divisible by: Rule

5. 54
8
90

6. All even numbers.
27
2 54
45
2 90
4
2 8
54, 90, 8 are
divisible by 2.

7. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
3 The sum of the digits is divisible by 3
Divisible by: Rule

8. 381
(3+8+1=12, and 12÷3 = 4)
Yes
217
(2+1+7=10, and 10÷3 = 3 1/3)
No

9. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
3 The sum of the digits is divisible by 3
4 The last two digits form a number divisible by 4
Divisible by: Rule

10. 4 29324

11. 13
12
12
12
04
7331
4 29324
28
4

12. 4 29324
28
13
12
12
12
04
7331
4

13. 4 29324

14. 4 29324

15. 6
4 24
24
0

16. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
3 The sum of the digits is divisible by 3
4 The last two digits formed a number divisible by 4
5 The last digit of a number is 5 or 0
Divisible by: Rule

17. 45 25
70

18. All numbers ending
in 5 or 0.
9
5 45
14
5 70
5
5 25
45, 70, 25 are
divisible by 5.

19. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
3 The sum of the digits is divisible by 3
4 The last two digits form a number divisible by 4
5 The last digit is a 5 or 0
6 The number is divisible by both 3 AND 2
Divisible by: Rule

20. 18
If divisible by 2 AND 3,
18 is divisible by 6.

21. 9
2 18
If divisible by 2 AND 3,
18 is divisible by 6.

22. 9
2 18
18
If divisible by 2 AND 3,
18 is divisible by 6.

23. 2 18
1+ 8
9
If divisible by 2 AND 3,
18 is divisible by 6.

24. 2 18
1+ 8 = 9
9
If divisible by 2 AND 3,
18 is divisible by 6.

25. 1+ 8 = 9
2 18
9
If divisible by 2 AND 3,
18 is divisible by 6.

26. 1+ 8 = 93
3
9
0
2 18
9
If divisible by 2 AND 3,
18 is divisible by 6.

27. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
3 The sum of the digits is divisible by 3
4 The last two digits form a number divisible by 4
5 The last digit is a 5 or 0
6 The number is divisible by both 3 AND 2
8 The last three digits form a number divisible by 8
Divisible by: Rule

28. 8 25272

29. 12
8
47
40
72
3 159
8 25272
24
72

30. 8 25272
24
12
8
47
40
72
3 159
72

31. 8 25272

32. 34
8 272
24
32 - 32=0

33. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
3 The sum of the digits is divisible by 3
4 The last two digits form a number divisible by 4
5 The last digit of a number is 5 or 0
6 The number is divisible by both 3 AND 2
8 The last three digits form a number divisible by 8
9 The sum of the digits is divisible by 9
Divisible by: Rule

34. 1629
(1+6+2+9=18, and
again, 1+8=9) Yes
2013
(2+0+1+3=6) No

35. 1 Any Integer is divisible by 1
2 The last digit of the number is even or 0
3 The sum of the digits is divisible by 3
4 The last two digits form a number divisible by 4
5 The last digit is a 5 or 0
6 The number is divisible by both 3 AND 2
8 The last three digits form a number divisible by 8
9 The sum of the digits is divisible by 9
10 The number ends in 0
Divisible by: Rule

36. 2 90
They all ends in 0.
27
2 70
45
4
2 20
70, 20, 90 are
divisible by 10.

37. THANK
YOU!