Question

Using divisibility test, determine $12583$ is divisible by $6$.

Answer 1

A number is divisible by 6 if it is divisible by $2$ and $3$ both.
When $12583$ is divided by $2$, we get remainder $1$, $12583$ is not divisible by $2$.
When $12583$ is divisible by $3$, we get remainder $1$.
Hence $12583$ is not divisible by $6$.