Question

Using the divisibility test, determine $12583$ 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 $12583$ is divisible by $6$ or not:

The given number is $12583$

$12583$ is ending with $3$, therefore $12583$ is not divisible by $2$

Sum of the digits of $12583\Rightarrow 1+2+5+8+3=19$

$19$ is not divisible by $3$, therefore $12583$ is not divisible by $3$.

As, $12583$ is not divisible by $3$ and not by $2$.

Hence, $12583$ is not divisible by $6$