Question

The number of non trivial divisors of $2160$ is

• A. 40
• B. 39
• C. 38
• D. 18

Answer 1

The correct option is C 38

$2160=2^4\times 3^3\times 5^1$
Therefore number of non-trival factors $=(4+1)(3+1)(1+1)-2=38$
Since numbers $1$ and $2160$ are trivial divisors of $2160$, they have been excluded.