Question

Number of divisors of $5400$ which are divisible by $6$ but not by $9$ is equal to

• A. $6$
• B. $9$
• C. $12$
• D. $18$

Answer 1

The correct option is B $9$

$5400=2^3\times 3^3\times 5^2$
Powers of $2$ can be $1,2,3$
Power of $3$ must be $1$
Powers of $5$ can be $0,1,2$
$\therefore$ total divisors $=3\times 1\times 3=9$