# Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 1"

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The factors of <math>27</math> are <math>1</math>, <math>3</math>, <math>9</math> and <math>27</math>. Out of these, only <math>3</math>, <math>9</math> and <math>27</math> are multiples of <math>3</math>, so the answer is <math>3 + 9 + 27 = \boxed{39}</math>. | The factors of <math>27</math> are <math>1</math>, <math>3</math>, <math>9</math> and <math>27</math>. Out of these, only <math>3</math>, <math>9</math> and <math>27</math> are multiples of <math>3</math>, so the answer is <math>3 + 9 + 27 = \boxed{39}</math>. | ||

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## Revision as of 12:03, 11 July 2021

## Problem

Find the sum of all positive multiples of that are factors of

## Solution

We use the fact that and to conclude that the only multiples of that are factors of are , , and . Thus, our answer is .

~Bradygho

## Solution 2

The factors of are , , and . Out of these, only , and are multiples of , so the answer is .