2003 AMC 10A Problem 8

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

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