Friday, October 10, 2014

Divisibility Rules

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


NumberDivisibility 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.