Mock AIME 2 Pre 2005 Problems/Problem 1
Problem
Compute the largest integer such that
divides
.
Solution
Note that . We focus on the large prime
as the powers of
and
in the prime factorization of
are going to be much higher. The largest power of
that divides
is
, the answer.
-MP8148
See Also
Mock AIME 2 Pre 2005 (Problems, Source) | ||
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Followed by Problem 2 | |
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