Question

The sum of the divisors of $2^4\cdot 3^3\cdot 5^3$ is

• A. $31\times 40\times 156$
• B. $30\times 40\times 150$
• C. $31\times 40\times 150$
• D. none of these

Answer 1

Answer: (A)

Reqd. sum $=\frac{2^5-1}{2-1}.\frac{3^4-1}{3-1}\cdot \frac{5^4-1}{5-1}$
$=\left(31\right)\left(40\right)\left(156\right)$