# Problem #1500

 1500 Positive integers $a$, $b$, and $2009$, with $a, form a geometric sequence with an integer ratio. What is $a$? $\mathrm{(A)}\ 7 \qquad \mathrm{(B)}\ 41 \qquad \mathrm{(C)}\ 49 \qquad \mathrm{(D)}\ 289 \qquad \mathrm{(E)}\ 2009$ This problem is copyrighted by the American Mathematics Competitions.
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