Difference between revisions of "1983 AIME Problems/Problem 8"
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== Problem == | == Problem == | ||
− | What is the largest 2-digit prime factor of the integer <math> | + | What is the largest 2-digit prime factor of the integer <math>{200\choose 100}</math>? |
== Solution == | == Solution == |
Revision as of 23:06, 23 July 2006
Problem
What is the largest 2-digit prime factor of the integer ?
Solution
Expanding the binomial coefficient, we get .
Therefore, our two digit prime must satisfy . The largest such prime is , which is our answer.