Difference between revisions of "Mock AIME 2 Pre 2005 Problems/Problem 1"
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Latest revision as of 16:01, 4 August 2019
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) | ||
| Preceded by First question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
