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2013 AMC 12B Problems/Problem 9

Revision as of 14:54, 22 February 2013 by Zverevab (talk | contribs) (Created page with "==Problem== What is the sum of the exponents of the prime factors of the square root of the largest perfect square that divides <math>12!</math> ? <math>\textbf{(A)}\ 5 \qquad \...")
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Problem

What is the sum of the exponents of the prime factors of the square root of the largest perfect square that divides $12!$ ?

$\textbf{(A)}\ 5 \qquad \textbf{(B)}\ 7 \qquad \textbf{(C)}\ 8 \qquad \textbf{(D)}\ 10 \qquad \textbf{(E)}\ 12$

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