Divisibility

TESTS OF DIVISIBILITY

Divisibility by 2:

A number is divisible by 2, if its unit digit is any of 0, 2, 4, 6, 8.

Divisibility by 3:

A number is divisible by 3 only when the sum of its digits is divisible by 3.

Divisible by 4:

A number is divisible by 4 is the sum of its last two digits is divisible by 4.

Divisible by 5:

A number is divisible by 5 only when its unit digit is 0 or 5.

Divisible by 8:

A number is divisible by 8 if the number formed by hundred’s ten’s and unit’s digit of the given number is divisible by 8.

Divisible by 9:

A number is divisible by 9 only when the sum of its digits is divisible by 9.

Divisible by 10:

A number is divisible by 10 only when its unit digit is 0.

Divisible by 11:

A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a number divisible by 11.