Question

Number of divisors of $n=38808$ except $1$ and $n$ is

• A. $70$
• B. $68$
• C. $72$
• D. $74$

Answer 1

The correct option is A $70$

$38808=8\times 9\times 49\times 11$

$=2^3\times 3^2\times 7^2\times {11}^1$

Number of divisors $=(3+1)(2+1)(2+1)(1+1)$

$=4\times 3\times 3\times 2$

$=72$

Number of divisors except $1$ and $n=$

= Number of divisors except $1$ and $38808$

$=72-2=70$