Divisibility Rules

What Are Divisibility Rules? They are a quick way to tell if one number can be completely divided into another without a remainder For example, 32 is divisible by 2 since 32 ÷ 2 = 16. We will learn the rules for dividing by 2, 3, 5 and 10.

Divisibility Rules Divisibility by 2 A number is divisible by 2 if the last digit is even (0, 2, 4, 6, or 8) is divisible by 2 since it ends with an even number (6) Divisibility by 3 A number is divisible by 3 if the sum of all the digits is divisible by is divisible by 3 since = 27 and 27 ÷ 3 = 9

Divisibility Rules Divisibility by 5 A number is divisible by 5 if the last digit is 0 or 5 The number is divisible by 5 since it ends with is also divisible by 5 since it ends with 5 Divisibility by 10 A number is divisible by 10 is the last digit is is divisible by 10 since it ends with 0

Divisibility Rules Divisibility by 4 A number is divisible by 4 if the last two digits are both 0 or if they are divisible by 4 (or by 2 twice) is divisible by 4 since 24 ÷ 4 = 6 or 24 ÷ 2 = 12 and 12 ÷ 2 = 6 Divisibility by 6 A number is divisible by 6 if it can be divided by 2 and by 3 (it must be an even number and the sum of all its digits must be divisible by 3) is divisible by 6 since it is an even number and = 21 and 21 ÷ 3 = 7.

Divisibility Rules Divisibility by 8 A number is divisible by 8 if its last three digits are all 0 or if the number formed by the sum of these last three digits is divisible by is divisible by 8 since 608 ÷ 8 = 76 Divisibility by 9 A number is divisible by 9 if the sum of its digits is divisible by is divisible by 9 since = 18 and 18 ÷ 9 = 2