Question

Determine whether $93573$ is divisible by $6$

Answer 1

Checking divisibility by 6 -

Divisibility by $6$ : A number is divisible by $6$ if it is divisible by $2$ as well as $3$.

Check divisibility by $2$ [ number which has $0,2,4,6$or $8$ in its last ( unit's ) digit is divisible by 2 ]

The last( unit's) digit of $93573$ is $3$ which is not divisible by $2$ . So , the given number is not divisible by $2$

Check divisibility by $3$ [ if the sum of digits of a number is divisible by $3$ , then the number is divisible by $3$ ]

$9+3+5+7+3=27$

Therefore, the number is divisible by $3$

$93573$ is not divisible by $6$ because it is not divisible by both $2$ and $3$

Hence, $93573$ is not divisible by $6$