**Divisibility Rules Workbook-1**

When we multiply a number by 1, 2,3, 4, etc. The products are known as multiples of the numbers.

**Important points :**

1. A number is a multiple of itself.

2. Every number is multiple of 1.

3. Multiples of a numbers are either greater than or equal to the number.

4. There are infinite multiples of a number.

**Divisibility rules :**

A number will be divisible by 2 if the digit at the unit place is divisible by 2.

A number will be divisible by 3 if the sum of digits of the number is divisible by 3

A number will be divisible by 4 if the last two digits of the number together are divisible by 4.

A number will be divisible by 5 if digit at the unit place is either 0 or 5.

A number will be divisible by 6 if the digit at the unit place of the number is divisible by 2 & sum of all digits of the number is divisible by 3.

Divisibility test of 7: Make two set of three nos. starts from unit digit then add the alternate sets, and find out the mutual difference, if it is 0 or any multiple of 7 then the given no. is divisible by 7.

A number will be divisible by 8 if the last 3 digits, all together, is divisible by 8.

A number will be divisible by 9 if sum of all it’s digits is divisible by 9.

A number will be divisible by 10 if it’s last digit is 0.

A number will be divisible by 11, if the difference between the sum of the digits at even places and sum of the digits at odd places is a multiple of 11.

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