Sum of divisors

Number Theory Level 2

What is the sum of all positive divisors of the number 264?


The answer is 720.

Munem Shahriar by Munem Shahriar , 18, Bangladesh

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Maria Kozlowska
Oct 11, 2017

264 = 2 3 ∗ 3 ∗ 11 264=2^3*3*11

We can use divisor function to calculate the sum of factors: 2 4 − 1 2 − 1 3 2 − 1 3 − 1 1 1 2 − 1 11 − 1 = 720 \dfrac{2^4-1}{2-1} \dfrac{3^2-1}{3-1} \dfrac{11^2-1}{11-1}=\boxed{720}

2 Helpful 1 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...