How many distinct prime numbers are factors of 33150?
Options:
(A) Four
(B) Five
(C) Six
(D) Seven
(E) Eight OK. Let's think. Some random thoughts first:
Start with the prime factorization:
33150 = 50*663 = (2*5*5)*3*221 = (2)*(3)*(5^2)*(13)*(17)
There are five distinct prime factors, {2, 3, 5, 13, and 17} The answer: (B).