SOLUTION: What is the sum of all positive integer values of n such (n +24)/n is an integer?

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Question 550137: What is the sum of all positive integer values of n such (n
+24)/n is an integer?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%28n%2B24%29%2Fn = n%2Fn + 24%2Fn = 1 + 24%2Fn

Therefore %28n%2B24%29%2Fn will be an integer if and only if 24 is
evenly divisible by n.  Therefore the only integer values
n can have are 1,2,3,4,6,8,12, and 24, that is, the divisors of 24.
And the sum of the divisors of 24 is:

1+2+3+4+6+8+12+24 = 60

Edwin