1. ___________ ____
2, 3, 4, 5, 6, 9, 10

2. “Divisible BY” What does it mean?

3. “Divisible by” means:
If you divide one number by another, the result is a whole number WITHOUT a remainder.
Examples:
12 ÷ 6 = 2 No remainder
15 ÷ 5 = 3 No remainder

4. 356,821 The divisibility rules can help YOU !!!
Can you tell by just looking at this number if it is divisible by 2?
by 5?
by 10?
by 3 ?
by 9?
By 6?
The divisibility rules
can help
YOU !!!

5. Divisibility Rules help you learn shortcuts to tell when a number can be divided by another number with NO remainder.

6. Divisibility Rule 2
A number is divisible by 2 if the last digit is even. (0, 2, 4, 6, 8)
Examples:
Review Even numbers: ghosteven

7. Are these numbers divisible by 2?
127
(Not an even number)
937
4678

8. Now You Try: 572 1464 249 Which number IS NOT divisible by 2?
Need More Practice: Numbers Divisible by 2

9. WONDERFUL

10. It ends in a 0, 2, 4, 6, or 8.

11. Divisibility Rule 3
A number is divisible by three if the sum of the digits is divisible by 3.
Examples:
= 12
12 ÷ 3 = 4 No Remainder
= 18
18 ÷ 3 = 6 No Remainder

12. Now You Try: 572 1464 279 Which number IS NOT divisible by 3?
Need More Practice: Numbers Divisible by 3

13. The sum is divisible by 3.

14. WONDERFUL

15. Divisibility Rule 4
A number is divisible by 4 if the last two digits are divisible by 4.
Examples:
÷ 4 = 5
÷ 4 = 18

16. Now You Try: 564 4101 188 Which number IS NOT divisible by 4?
Need More Practice: Numbers Divisible by 4

17. WONDERFUL

18. The last 2 digits are divisible by 4.

19. Divisibility Rule 5
A number is divisible by 5 if the last digit is a 0 or 5.
Examples:
615 ends in a 5
1480 ends on a 0

20. Now You Try: 9820 779 560 Which number IS NOT divisible by 5?
Need More Practice: Numbers Divisible by 5

21. The number ends in a zero or a five.

22. Wonderful

23. Divisibility Rule 6
A number is divisible by 6 when it is divisible by 2 AND 3. (prime numbers)
Examples:
408 ends in an even number (2 rule)
sum of the digits is divisible by 3
Review prime and composite numbers: Prime and Composite Numbers

24. Now You Try: 8700 523 7602 Which number IS NOT divisible by 6?
Need more practice? Numbers Divisible by 6

25. Way To Go!!

26. This number is divisible by 2 and 3.

27. Divisibility Rule 9
A number is divisible by 9 if the sum of the digits is divisible by 9.
Examples:
= ÷ 9 = 2
= ÷ 9 =2

28. Now You Try: 9873 636 5541 Find the number that IS NOT divisible by 9.
Need More Practice: Numbers Divisible by 9 and 10

29. The sum of the digits is divisible by 9.

30. Great Job!!!

31. Divisibility Rule 10 A number is divisible by 10 is it ends in a ZERO.
Example:
7630 ends in a zero
410 ends in a zero

32. Now You Try:
Find the number that IS NOT divisible by ten.
56,

33. The number ends in a ZERO.

34. Way To Go!!