AMC 12 2003a Problem 8

What is the probability that a randomly drawn positive factor of $60$ is less than $7$?

$\mathrm{(A) \ } \frac{1}{10} \mathrm{(B) \ } \frac{1}{6} \mathrm{(C) \ } \frac{1}{4} \mathrm{(D) \ } \frac{1}{3} \mathrm{(E) \ } \frac{1}{2}$