Math Teaching Tools


The following is a list of Divisibility Rules which are ways to decide if numbers are divisible by specific numbers.



Number Divisibility Rule
Two (2) A number is divisible by two if it is even. Another way to say a word is even is to say it ends in 0, 2, 4, 6 or 8.
Example: 642 is divisible by two because it ends in a two, which makes it an even number.
Three (3) 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.
Four (4) 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.
Five (5) 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.
Six (6) 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 is a multiple of three.
Nine (9) 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 the sum of the digits adds up to eighteen, which is a multiple of nine.
Ten (10) A number is divisible by ten if it ends in a zero. This rule is similar to the divisibility rule for five.
Example: 730 is divisible by ten because it ends in zero.
One Hundred (100) A number is divisible by one hundred if it ends in two zeros. This rule is similar to the divisibility rule for ten.
Example: 4700 is divisible by one hundred because it ends in two zeros.


There is also a worksheet with a listing of the divisibility rules. It also includes practice exrecises and answers. Divisibility Rules Worksheet

Divisibility Rule Worksheet for TWO This worksheet has the divisibility rule for two, examples and twenty practice exercises. (pdf format - use Adobe Acrobat Reader)

eHow.com version for TWO This worksheet has the divisibility rule for two, examples and practice exercises.

Divisibility Rule Worksheet for THREE This worksheet has the divisibility rule for three, examples and twenty practice exercises. (pdf format - use Adobe Acrobat Reader)

eHow.com version for THREE This worksheet has the divisibility rule for two, examples and practice exercises.

Divisibility Rule Worksheet for FIVE This worksheet has the divisibility rule for five, examples and twenty practice exercises. (pdf format - use Adobe Acrobat Reader)

eHow.com version for FIVE This worksheet has the divisibility rule for two, examples and practice exercises.

Divisibility Rule Worksheet for NINE This worksheet has the divisibility rule for nine, examples and twenty practice exercises. (pdf format - use Adobe Acrobat Reader)

eHow.com version for NINE This worksheet has the divisibility rule for two, examples and practice exercises.

Divisibility Rule Worksheet for TEN This worksheet has the divisibility rule for ten, examples and twenty practice exercises. (pdf format - use Adobe Acrobat Reader)

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