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Number Theory Level 2

The sum of all possible factors of 500 ( 1 and 500 included) equals


The answer is 1092.

Ashtik Mahapatra by Ashtik Mahapatra , 22, India

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2 solutions

Priyesh Pandey
Apr 6, 2014

sum of all the factors of 500 =(summation(2^n)from 0 to 2)(sum(5^n)from 0 to 3)=1092

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prime factors of 500 are 1,2,4,5,10,20,25,50,100,125,250,500.. Their sum would be 1+2+4+5+10+20+25+50+100+125+250+500=1092

Hammad Hadi Khan - 7 years, 1 month ago

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only factors...

Hammad Hadi Khan - 7 years, 1 month ago
Shreyansh Vats
Apr 26, 2014

500= 2^2 . 3^3

Sum of factors= (2^0 + 2^1 + 2^2)(3^0 + 3^1 + 3^2)= 1092

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