The quotient and divisor are the factors of dividend:

Given:

The quotient and divisor are the factors of dividends.

We have to explain the conditions under which the given statement is true.

We know that the quotient and the divisor are always the factors of the dividend if there is no remainder.

Example:

So, $2 \mathrm{and} 8$ are the factors of $16$

Also if,

Here, neither $3$ nor $5$ is the factor of 16.

Hence, the correct answer is option A.