2002 AMC 10A Problem 4

For how many positive integers m does there exist at least one positive integer n such that mn \le m + n?

\text{(A)}\ 4 \qquad \text{(B)}\ 6 \qquad \text{(C)}\ 9 \qquad \text{(D)}\ 12 \qquad \text{(E)} infinitely many

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.