Find the sum of divisors given the product of divisors

Number Theory Level 3

The product of divisors of the positive integer N N is 15625.
What is the sum of divisors of N N ?


The answer is 156.

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

E Koh
Nov 17, 2017

15625 = 1x5x25x125 N = 125 Sum = 1+5+25+125 = 156

1 Helpful 0 Interesting 0 Brilliant 0 Confused

How do you know that there isn't any number satisfying this property?

Pi Han Goh - 3 years, 6 months ago

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