2021 JMPSC Accuracy Problems/Problem 1
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
.