2023 AMC 10B Problems/Problem 15
Revision as of 16:24, 15 November 2023 by Technodoggo (talk | contribs)
Problem
What is the least positive integer 
such that 
is a perfect square?
Solution
Consider 2,
there are odd number of 2's in 
(We're not counting 3 2's in 8, 2 3's in 9, etc).
There are even number of 3's in
...
So, original expression reduce to m \cdot 2 \cdot 4 \cdot 6 \cdot 8 \cdot 10 \cdot 12 \cdot 14 \cdot 16.
