Question

Using the divisibility test, determine $4335$ is divisible by $6$ or not?

Answer 1

Step 1: Explaining the divisibility test:

Divisibility test of $6$: A number is divisible by $6$, when the number is divisible by both $2$ and $3$

Divisibility test of $2$: A number is divisible by $2$, when the number is ending with $0,2,4,6,8$

Divisibility test of $3$: A number is divisible by $3$, when the sum of the digits of the number is divisible by $3$

Step 2: Finding whether $4335$ is divisible by $6$ or not:

The given number is $4335$

$4335$ is ending with $5$, therefore $4335$ is not divisible by $2$

Sum of the digits of $4335\Rightarrow 4+3+3+5=15$

$15$ is divisible by $3$, therefore $4335$ is divisible by $3$.

As, $4335$ is divisible by $3$ but not by $2$.

Hence, $4335$ is not divisible by $6$