A **divisibility rule** helps us to determine whether a positive integer can be evenly divided by another (i.e. there is no remainder left over).

**Basic Divisibility Rules**

Divisibility by 11 :

Find the difference between the sum of the digits at odd places (from the right) and the sum of the digits at even places (from the right) of the number. If the difference is either 0 or divisible by 11, then the number is divisible by 11.

Divisibility by 10 :

If a number has 0 in the ones place then it is divisible by 10.

Divisibility by 8 :

A number with 4 or more digits is divisible by 8, if the number formed by the last three digits is divisible by 8.

Divisibility by 9 :

If the sum of the digits of a number is divisible by 9, then the number itself is divisible by 9.

Divisibility by 6 :

If a number is divisible by 2 and 3 both then it is divisible by 6 also.

Divisibility by 5 :

A number which has either 0 or 5 in its ones place is divisible by 5

Divisibility by 4 :

A number with 3 or more digits is divisible by 4 if the MATHEMATICS 56 number formed by its last two digits (i.e. ones and tens) is divisible by 4.

Divisibility by 3 :

If the sum of the digits is a multiple of 3, then the number is divisible by 3.

Divisibility by 2 :

A number is divisible by 2 if it has any of the digits 0, 2, 4, 6 or 8 in its ones place.