Question

Using the divisibility test, determine $1700$ 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 $1700$ is divisible by $4$, by $8$ or not

The given number is $1700$

Last two digits in $1700$ is $00$

Clearly, $00$$÷4=$$0$

Thus, $00$ is divisible by $4$, therefore $1700$ is divisible by $4$

Last three digits in $1700$ is $700$

Clearly, $700$$÷8=$$87.5$

Thus, $700$ is not divisible by $8$, therefore $1700$ is not divisible by $8$

Hence, $1700$ is divisible by $4$ but not by $8$