**Problem 1 – Divisibility rule for 6**

Check whether 89676 is divisible by 6?

**a) Yes**

b) No

**Solution:**

A number is divisible by 6, if it is divisible by both 2 and 3.

Checking Divisibility for 2,

A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In, 89676

6 is at one’s place

and 6 is divisible by 2

So, 89676 is also divisible by 2

Checking Divisibility for 3,

A number is divisible by 3, if the sum of all the digits of the numbers, is divisible by 3.

In, 89676

Sum of its digits = 8 + 9 + 6 + 7 + 6 = 36

and 36 is divisible by 3

So, 89676 is also divisible by 3

Therefore, 89676 is divisible by 2 and 3

Hence, 89676 is also divisible by 6