Question

If a number $a$ is divisible by $b$, then it must be divisible by each factor of $b$. State whether the statement given is true or false

• A. True
• B. False

Answer 1

The correct option is A True

Prove divisibility for the given factors

Let $c,d$ be two factors of $b$

If $a$ is divisible by $b$ then it implies that $b$ is a factor of $a$

If $b$ is a factor of $a$, then $c,d$ both are factors of $a$ too.

This implies that $a$ is divisible by both $c$ and $d$.

Hence, the given statement is True.