# Problem #1780

 1780 What is the sum of the exponents of the prime factors of the square root of the largest perfect square that divides $12!$ ? $\textbf{(A)}\ 5 \qquad \textbf{(B)}\ 7 \qquad \textbf{(C)}\ 8 \qquad \textbf{(D)}\ 10 \qquad \textbf{(E)}\ 12$ This problem is copyrighted by the American Mathematics Competitions.
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