Question

Using the divisibility test, determine $6000$ 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 $6000$ is divisible by $4$, by $8$ or not

The given number is $6000$

Last two digits in $6000$ is $00$

Clearly, $00$$÷4=$$00$

Thus, $00$ is divisible by $4$, therefore $6000$ is divisible by $4$

Last three digits in $6000$ is $000$

Clearly, $000$$÷8=$$000$

Clearly, $000$ is divisible by $8$, therefore $6000$ is divisible by $8$

Hence, $6000$ is divisible by both $4$ and $8$