1. Tardigrade
  2. Question
  3. Mathematics
  4. The sum of the divisors of 24⋅ 33 ⋅ 53 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

Permutations and Combinations

Solution:

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