Question

Using the divisibility test, determine $31795072$ is divisible by $4$, by $8$ or not?

Answer 1

Step $1:$ Explaining the divisibility test:

Divisibility test of $4$: A number is divisible by $4$, when the last two digits of the number is divisible by $4$

Divisibility test of $8$: A number is divisible by $8$, when the last three digits of the number is divisible by $8$

Step $2$: Finding whether $31795072$ is divisible by $4$, by $8$ or not

The given number is $31795072$

Last two digits in $31795072$ is $72$

Clearly, $72$$÷4=$$18$

Thus, $72$ is divisible by $4$, therefore $31795072$ is divisible by $4$

Last three digits in $31795072$ is $072$

Clearly, $072$$÷8=$$9$

Clearly, $072$ is divisible by $8$, therefore $31795072$ is divisible by $8$

Hence, $31795072$ is divisible by both $4$ and $8$