Difference between revisions of "2020 AIME II Problems/Problem 1"
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Revision as of 19:26, 7 June 2020
Problem
Find the number of ordered pairs of positive integers such that
.
Solution
First, we find the prime factorization of , which is
. The equation
tells us that we want to select a perfect square factor of
,
.
will be assigned by default. There are
ways to select a perfect square factor of
, thus our answer is
.
~superagh MAA Notice