Question

Test the divisibility of the following numbers by $7$.

$4536$

Answer 1

A number is divisible by $7$ if the difference between twice the last digit and number formed by other digits is either $0$ or a multiple of $7$

In the given number $4536$ last digit is $6$. Twice of $6$ is $12$ and the number formed by other digit is $453$.

Diffierence$=$$453$$-12$$=441$, which is divisible by $7$.

Hence, the number $4536$ is divisible by $7$.