What is the sum of all positive integer values of $n$ such that $\frac{n+18}{n}$ is an integer

Guest Jul 28, 2023

#2**+1 **

Note that the fraction can be expressed as \(1+\frac{18}n\), so $n$ must be a factor of \(18\). The sum of all factors of \(18\) is \(\boxed{39}\).

tastybanana Jul 28, 2023