2021 JMPSC Accuracy Problems/Problem 1

Revision as of 20:58, 10 July 2021 by Bradygho (talk | contribs) (Solution)

Problem

Find the sum of all positive multiples of $3$ that are factors of $27.$

Solution

We use the fact that $27 = 2^3$ to conclude that the only multiples of $3$ that are factors of $27$ are $3$, $9$, and $27$. Thus, our answer is $3 + 9 + 27 = 39$.

~Bradygho