Question

Using the divisibility test, determine $2150$ 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 $2150$ is divisible by $4$, by $8$ or not

The given number is $2150$

Last two digits in $2150$ is $50$

Clearly, $50$$÷4=$$12.5$

Thus, $50$ is not divisible by $4$, therefore $2150$ is not divisible by $4$

Last three digits in $2150$ is $150$

Clearly, $150$$÷8=$$18.75$

Thus, $150$ is not divisible by $8$,therefore $2150$ is not divisible by $8$

Hence, $2150$ is not divisible by both $4$ and $8$.