Question

Check whether $864$ is divisible by $36$? Verify whether $864$ is divisible by all the factors of $36$?

Answer 1

First we have to break $36$ into factors $9$ and $4$ and
Now, we have to check simultaneously both the conditions of divisibility by
$4$ and $9$
$\left(i\right)$ for divisible by $4$, The last two digit should be divisible by $4$
$\left(ii\right)$ for divisible by $9$, the sum of all digits must be divisible by $9$
So, as we can see $\left(i\right)$ is satisfying $864$
and $8+6+4=18$ hence,$\left(ii\right)$ is also satisfying $864$
Therefore $864$ is divisible by $36$.
All factors of $36=2\times 3\times 2\times 3$
Divisibility Rule of $2$ is the number should be even.
Divisibility Rule of $3$ is the sum of digits must be divisible by $3$
Now,$864$ is even and $8+6+4=18$
hence, $864$ is divisible by $2,3$