AMC 10 2008a Problem 5

Which of the following is equal to the product $$\frac{8}{4}\cdot\frac{12}{8}\cdot\frac{16}{12}\cdot\cdots\cdot\frac{4n+4}{4n}\cdot\cdots\cdot\frac{2008}{2004}?$$ $\textbf{(A)}\ 251 \textbf{(B)}\ 502 \textbf{(C)}\ 1004 \textbf{(D)}\ 2008 \textbf{(E)}\ 4016$