Rules of Divisibility

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# Rules of Divisibility - PowerPoint PPT Presentation

Rules of Divisibility. Making Math Easier. Divisibility Slide Show Your Name &amp; Number Date Divisibility Rules. Example 642 is divisible by two because it ends in a two, which makes it an even number. Divisibility Rules A number is divisible

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## PowerPoint Slideshow about 'Rules of Divisibility' - livia

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### Rules of Divisibility

Making Math Easier

Divisibility Slide Show Your Name & Number DateDivisibility Rules

Example

642 is divisible by two because it ends in a two, which makes it an even number.

Divisibility Rules

A number is divisible

by two if it is even.Another way to say a number is even is to say it ends in 0, 2, 4, 6, or 8.

Number

Two (2)

Divisibility Rules

A number is divisible

by three if the sum of the digits adds up to a multiple of three.

Example

423 is divisible by three because 4+2+3=9. Since nine is a multiple of three (or is divisible by three), then 423 is divisible by three.

Number

Three (3)

Divisibility Rules

A number is divisible

by four if it is even and can be divided by two twice.

Example

128 is divisible by four because half of it is 64 and 64 is still divisible by two.

Number

Four (4)

ALSO:

The last two numbers are divisible by four.

358912 ends in 12.

12 is divisible by 4 so 358912 is too.

Divisibility Rules

A number is divisible

by five if it ends in a five or a zero.

Example

435 is divisible by five because it ends in a five.

Number

Five (5)

Divisibility Rules

A number is divisible

by six if it is divisible by both two and three.

Example

222 is divisible by six because it is even, so it is divisible by two and its digits add up to six, which makes it divisible by three.

Number

Six (6)

Divisibility Rules

A number is divisible by 7 when you,

double and subtract the last digit from the rest of the digits.

Repeat the process for larger numbers.

If the difference is divisible by seven so is the original number.

Example

357 is divisible by seven because the last digit 7 doubled is 14.

35 – 14 = 21.

21 is divisible by 7, so 357 is divisible by 7.

Number

Seven (7)

Divisibility Rules

A number is divisible by eight when the last three numbers are divisible by eight.

Example

4168 is divisible by eight because 4168 ends in 168.

168 is divisible by 8 (8 goes into 16 twice and 8 once) therefore 4168 is divisible by 8.

Number

Eight (8)

Divisibility Rules

A number is divisible by nine if the sum of the digits adds up to a multiple of nine. This rule is similar to the divisibility rule for three.

Example

9243 is divisible by nine because 9+2+4+3=18

and 18 is a multiple of nine.

Number

Nine (9)

Divisibility Rules

A number is divisible by ten if it ends in zero. This rule is similar to the divisibility rule for five.

Example

730 is divisible by ten because it ends in zero.

Number

Ten (10)