# Divisibility Rule Of Number 61 Proof

Divisibility rules are shorthand ways of division to tell if one number is divisible or not. Here is a proof the divisibility rule of number 61 with simple example. You can check if a number is divisibile by 61 using the rule given here.

## Divisibility Rule Of Number 61

##### Rule:

Multiply 6 times the last digit of the given number and subtract it from the rest of the digits. (i.e.,) if ABCD is the given number, subtract 6 times of D from ABC. If the resultant number is divisble by 61, then the given number is also divisible by 61. Apply this rule over and over again as necessary.

##### Example

Check if 732 is Divisible by 61

##### Solution :

Apply the divisibility rule of number 61 and check if 732 is divisible by 61.

###### Step 1:

The last digit of the given number is 2. 6 times of the last digit is (6 x 2 = 12)

###### Step 2:

Subtract the resultant number from the other given digits. 73 - 12 = 61

###### Step 3:

Since 61 is divisible by 61, the original number 732 is also divisible by 61.