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 22:01, 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