# Divisibility Rules

We say that a number is **divisible** if it can be divided evenly with no reminder.

##### A number is **divisible** by:

2

If the last digit is even - 0, 2, 4, 6 or 8.

Example

Example

3

If the sum of the digits is divisible by 3.

Example

Example

4

If the last two digits form a number that is divisible by 4.

Example

Example

5

If the last digit is 5 or 0.

Example

Example

6

If the number is divisible by both 2 and 3.

Example

Example

7

If you can double the last digit and subtract the sum from the rest of the number, and get an answer that is divisible by 7(including 0).

Example

Example

8

If the last three digits form a number that is divisible by 8.

Example

Example

9

If the sum of all digits is divisible by 9.

Example

Example

10

If the number ends in 0.

Example

Example

#### Problems & Tests:

Problems involving divisibility rules for 2, 3, 4, 5, 6, 9

Divisibility Rules Quiz - 1

Divisibility Rules Quiz - 2

Quiz: LCM and Divisibility Rules

#### Articles:

Divisibility

Divisibility by 2

Divisibility by 4

Divisibility by 3 and 9

Divisibility by 5

Divisibility by 25