Question

Test the divisibility of the following numbers.

$723$

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 $9$.

Here, Given number is $723$

Sum of digits of the number $=7+2+3=12$ which is divisible by $3$

Hence the number $723$ is divisible by $3$