What is the greatest whole number that MUST be a factor of the sum of any four consecutive positive odd numbers

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108

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

Guest Jul 28, 2023

tastybanana · Answer 1 · 2023-07-28T07:03:53

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 $\boxed{39}$ .