Any number is said to be divisible by 6 if that number is divisible by 2 as well as 3 (remember, 6 can be written as 2 x 3). If the number is not divisible by either of 2 or 3, then the number is not divisible by 6.

To check divisibility by 2, please refer to topic Divisibility by 2.

To check divisibility by 3, please refer to topic Divisibility by 3.

For example: Is 34548 divisible by 6?

Step 1: Last digit of 34548 is 8, which is even.

So, 34568 is divisible by 2.

Step 2: Sum of digits of 34548 is (3+4+5+4+8=) 24.

As 24 is divisible by 3, so number 34548 is divisible by 3.

As number 34548 is divisible by 2 and 3, both, so this number is divisible by 6.

Practice Questions:

Check whether below numbers are divisible by 6?

a. 4566             b. 1236            c. 111112        d. 222224              e. 22124

f.  24                 g. 3636             h. 124578        i. 2840                   j. 5556