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Sample Question 20:
The number \(2013\) is expressed in the form \(2013=\frac{a_1!a_2!\cdots a_m!}{b_1!b_2!\cdots b_n!},\) where \(a_1\ge a_2\ge\cdots\ge a_m\) and \(b_1\ge b_2\ge\cdots\ge b_n\) are positive integers and \(a_1+b_1\) is as small as possible. What is \(|a_1-b_1|\)?
\(\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5\)