The document outlines various divisibility rules that help determine if an integer is divisible by certain divisors without direct division. Key rules include checking if the last digit is even or 0 for divisibility by 2, the sum of digits for 3, the last two digits for 4, and specific last digits for 5 and 10. Additional rules for 6, 8, and 9 are also mentioned, illustrating methods to easily assess divisibility.

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!