1. Divisibility Rules

2. Divisibility What is Divisibility ? Divisibility means that after dividing, there will be NO remainder.

3. 356 821 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 !!!

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

5. Divisibility by 2 A number is divisible by 2 if the number is even. 18 ÷ 2 = 9 22 ÷ 2 = 11 (Notice that both of these numbers are even.) 21 ÷ 2 = 10 R1 (Not an even number.) (ending in 0, 2, 4, 6, 8)

6. Are these numbers divisible by 2? 127 937 4678

7. Divisibility by 5 A number is divisible by 5 if it ends in 0 or 5. 25 ÷ 5 = 5 23 ÷ 5 = 4 R3

8. Divisibility by A number is divisible by 10 if it ends in 0. 30 ÷ 10 = 3 340 ÷ 10 = 34 67 ÷ 10 = 6 R7 784 ÷ 10 =78 R4

9. Divisibility By: Answer across 2 5 10 10 1825 346 510 1108

10. Divisibility by 3 A number is divisible by 3 if the sum of the digits is divisible by 3.A number is divisible by 3 if the sum of the digits is divisible by 3. Is the number 135 divisible by 3? Add the digits: 1 + 3 + 5 = 9 Yes, 135 is divisible by 3 because the sum of the digits is divisible by 3. Yes, 135 is divisible by 3 because the sum of the digits is divisible by 3.

11. Divisibility by A number is divisible by 9 if the sum of its digits is divisible by 9. Is 369 divisible by 9? 369 is divisible by 9 because 3 + 6 + 9 =18 1 + 8 = 9 AND 9 is divisible by 9.

12. Divisibility by 6 A number is divisible by 6 if it is divisible by both 2 and 3. Is 42 divisible by 6? Is 51 divisible by 6?

13. Divisibility by 4 A number is divisible by 4 if the last two digits form a number divisible by 4 Are these numbers divisible by 4? 1222 3421 6712 90 408

14. Divisibility by 12 Are these numbers divisible by 12? 12? 1+2=3, 12 A number is divisible by 12 if it is divisible by both 3 and 4. 14? 1+4=5, 14

15. 356 821 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 !!!

16. 356 821 Find the closest number to this number which fits the chart Divisibility by Number closest to Rule 2 3 4 5 6 9 10 12

17. Divisibility By: Answer across 2 3 4 5 6 9 10 12 1825 348 510 1108

18. I love divisibility

19. The End !! Divisibility is Un-frog-getable !!

20. THE END Content: P. Frye, Oak Grove Elementary School, December 2003 Revised S. Roache, Hillcrest Academy 2008 Graphics: Microsoft Clip Gallery AllAboutFrogs.org Frogland