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Divisibility Rules

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

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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 !!!

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

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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)

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Are these numbers divisible by 2? 127 937 4678

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

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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

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

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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.

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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.

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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?

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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

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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

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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 !!!

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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

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

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I love divisibility

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

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

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Divisibility Rules and Number Theory

Divisibility Rules and Number Theory

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