Question

Using the divisibility test, determine $17852$ 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 $17852$ is divisible by $6$ or not:

The given number is $17852$

$17852$ is ending with $2$, therefore $17852$ is divisible by $2$

Sum of the digits of $17852\Rightarrow 1+7+8+5+2=23$

$23$ is not divisible by $3$, therefore $17852$ is not divisible by $3$.

As, $17852$ is divisible by $2$ but not by $3$.

Hence, $17852$ is not divisible by $6$