Divisibility Rules
- 2. What is Divisibility? Divisibility means that after dividing, there will be no remainders. The divisor can evenly divide into the dividend.
- 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 help you learn shortcuts to tell when a number can be divided by another number without any remainders.
- 5. Divisibility by 2 A number is divisible by 2 if the number is even. 18 ÷ 2 = 9 22 ÷ 2 = 11 (18 and 22: Notice that both of these dividends are even.) 21 ÷ 2 = 10 R1 (21: not an even number.)
- 6. Are these numbers divisible by 2? 127 ( Not an even number) 937 ( Not an even number) 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: 2 5 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. 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.
- 11. Divisibility by A number is divisible by 9 if the sum of its digits is 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? Think: Is 42 divisible by 2? Is 42 divisible by 3? Is 51 divisible by 6?
- 13. After all, divisibility rules!
- 14. THE END Content: P. Frye, Oak Grove Elementary School, December 2003 Graphics: Microsoft Clip Gallery AllAboutFrogs.org Frogland Modified by: S.Valenti, Queen Anne’s County Public Schools, August 2007