Difference between revisions of "2021 JMPSC Accuracy Problems/Problem 1"
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Revision as of 17:20, 11 July 2021
Contents
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 .
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. 
