Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 1"
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| − | We use the fact that <math>27 = 2^3</math> to conclude that the only multiples of <math>3</math> that are factors of <math>27</math> are <math>3</math>, <math>9</math>, and <math>27</math>. Thus, our answer is <math>3 + 9 + 27 = 39</math>. | + | We use the fact that <math>27 = 2^3</math> to conclude that the only multiples of <math>3</math> that are factors of <math>27</math> are <math>3</math>, <math>9</math>, and <math>27</math>. Thus, our answer is <math>3 + 9 + 27 = \boxed{39}</math>. |
~Bradygho | ~Bradygho | ||
Revision as of 21:01, 10 July 2021
Problem
Find the sum of all positive multiples of 
that are factors of 
Solution
We use the fact that 
to conclude that the only multiples of that are factors of 
are , 
, and . Thus, our answer is 
.
~Bradygho
