Question

The number of even proper divisors of $1008$ is

• A. $23$
• B. $21$
• C. $20$
• D. None of these

Answer 1

The correct option is A

$23$

Explanation for the correct option:

Find the total number of divisors of the given number.

A number $1008$ is given.

The factors of the given number are as follows $1008=2\left(2^3·3^2·7\right)$.

So, the even divisors are as follows: $(3+1)(2+1)(1+1)=24$

So, the number of proper even divisors can be given by $24-1=23$.

Therefore, the total number of proper even divisors of the given number is $23$.

Hence, option $A$ is the correct answer.