Question

Test the divisibility of the following numbers.

$495$

Answer 1

We know that, a number is divisible by

$2,$ if it has digits $0,2,4,6\mathrm{or}8$ in ones place.

$3$, if the sum of digits is a multiple of $3$or divisible by $3$.

$4$, if last two digits of a number is completely divisible by $4$.

$5$, if a number has $0\mathrm{or}5$ in its ones place.

$6$, if it is divisible by $2\mathrm{and}3$

$8$, if last three digits of a number is completely divisible by $8$.

$9$, if the sum of digits is divisible by $9$.

Given number is $495$

Here unit place is $5$. So it is divisible by $5$

And sum of digits $=4+9+5=18.$ So, it is also divisible by $3\mathrm{and}9$

So, $495$ is divisible by both $3,5$ and $9$.