AMC 12 2008a Problem 4

Which of the following is equal to the product $$\frac{8}{4}\cdot\frac{12}{8}\cdot\frac{16}{12}\cdot\cdots\cdot\frac{4n+4}{4n}\cdot\cdots\cdot\frac{2008}{2004}?$$

$\mathrm{(A)}\ 251 \mathrm{(B)}\ 502 \mathrm{(C)}\ 1004 \mathrm{(D)}\ 2008 \mathrm{(E)}\ 4016$