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.

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 !!!

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

(Notice that both of these numbers are even.) Divisibility by 2 18 ÷ 2 = 9 22 ÷ 2 = 11 (Notice that both of these numbers are even.) 21 ÷ 2 = 10 R1 (Not an even number.) A number is divisible by 2 if the number is even.

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

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

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 5 10 1825 346 510 1108

Is the number 135 divisible by 3? 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.

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.

Divisibility by 6 A number is divisible by 6 if it is divisible Even number 4 + 2 = 6 6is divisible by 3 Is 51 divisible by 6? Not an even number A number is divisible by 6 if it is divisible by both 2 and 3.

After All…DIVISIBILITY Rules!!

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

To help you remember the RULES for 3 & 9 http://youtu.be/1ffvCtNZN9Q