Question

The total number of proper divisors of $38808$ excluding $1$ and the number itself is

• A. $72$
• B. $70$
• C. $69$
• D. $71$

Answer 1

The correct option is B $70$

Given number is $38808$

It can be expressed as

$(2{)}^3\times (3{)}^2\times (7{)}^2\times (11)$

$\Rightarrow$ Total number of factors

$=(3+1)(2+1)(2+1)(1+1)-2=4\times 3\times 3\times 2-2=72-2=70$

On subtracting we get $70$