Question

Using the divisibility test, determine $1790184$ is divisible by $6$ or not?

Answer 1

Step 1: Explaining the divisibility test

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

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

Divisibility 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 $1790184$ is divisible by $6$ or not

The given number is $1790184$

$1790184$ is ending with $4$, therefore $1790184$ is divisible by $2$

Sum of the digits of $1790184\Rightarrow 1+7+9+0+1+8+4=30$

$30$ is divisible by $3$, therefore $1790184$ is divisible by $3$.

As, $1790184$ is divisible by both $2$ and $3$.

Hence, $1790184$ is divisible by $6$