Divisibility Rule for 2 :

All even numbers are divisible by 2.

The numbers which have the digits 0, 2, 4, 6 or 8 in one's place are known as even numbers.

If the given number has one of the above digits in one's place, then, the number is divisible by 2.

Divisibility Rule for 3 :

To check whether a number is divisible by 3, we have to add all the digits in the number.

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

Divisibility Rule for 4 :

If the last two digits of a number are zeros or the number formed by the last 2 digits is divisible by 4, then the number is divisible by 4.

Divisibility Rule for 5 :

If a number has 0 or 5 in one's place, then it is divisible by 5.

Divisibility Rule for 6 :

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

We already know that all even numbers are divisible 2.

Hence, all the even numbers which are divisible by 3 are divisible by 6.

Divisibility Rule for 7 :

A number is divisible by 7, when the difference between twice the digit in one's place and the number formed by other digits is either zero or a multiple of 7.

Divisibility Rule for 8 :

In a number, if the last three digits are zeros or the number formed by the last 3 digits is divisible by 8, then the number is divisible by 8.

Divisibility Rule for 9 :

To check whether a number is divisible by 9, we have to add all the digits in the given number.

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

Divisibility Rule for 10 :

If a number has 0 in one's place, then it is divisible by 10.

Divisibility Rule for 11 :

In a number, if the sum of the digits in odd places and sum of the digits in even places are equal or they differ by a number divisible by 11, then the number is divisible by 11.

Divisibility Rule for 12 :

If a number is divisible by both 3 and 4, then it is divisible by 12.

Divisibility Rule for 15 :

If a number is divisible by both 3 and 5, then it is divisible by 15.

Divisibility Rule for 18 :

If a number is divisible by both 2 and 9, then it is divisible by 18.

Divisibility Rule for 25 :

In a number, if the last two digits are zeroes or the number formed by the last two digits is a multiple of 25, then the number is divisible by 25.

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