Divisibility Rules.

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Divisibility Rules.

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Presentation transcript:

Divisibility Rules

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

Divisibility Rules Can Help! 356,821 Can you tell by just looking at this number if it is divisible by 2? by 3? by 5? by 6? by 9? by 10? Divisibility Rules Can Help!

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

Divisibility by 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.)

Are these numbers divisible by 127 - No (Not an even number) 937 - No 4678 – Yes! (It is an even number)

Divisibility by 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 Divide: 9 ÷ 3 = 3 YES!!! 135 is divisible by 3 because 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. Divisibility by A number is divisible by 3 if the sum of the digits is divisible by 3. Is the number 337 divisible by 3? Add the digits: 3 + 3 + 7 = 13 Divide: 13 ÷ 3 = 4 r 1 NO!!! 337 is NOT divisible by 3 because the sum of the digits isn’t divisible by 3.

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

A number is divisible by 6 if it is divisible Divisibility by A number is divisible by 6 if it is divisible by BOTH 2 and 3. Is 42 divisible by 6? YES! Is 51 divisible by 6? NO!! (it’s not divisible by 2)

A number is divisible by 9 if the sum of its digits is divisible by 9. Divisibility by A number is divisible by 9 if the sum of its digits is divisible by 9. IS 369 divisible by 9? Add Digits: 3 + 6 + 9 =18 Divide: 18 ÷ 9 = 2 YES! 9 is divisible by 9.

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

Divisibility By: 2 3 5 6 9 10 1825 246 520 2007

After All…DIVISIBILITY Rules!!

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

THE END Content: P. Frye, Oak Grove Elementary School, December 2003 Graphics: Microsoft Clip Gallery AllAboutFrogs.org Frogland Updated 2012 M. Luker