Give a quick stream of consciousness before answering the following question. How many distinct prime numbers are factors of 33150?\nOptions:\n(A) Four\n(B) Five\n(C) Six\n(D) Seven\n(E) Eight
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Start with the prime factorization:\n33150 = 50*663 = (2*5*5)*3*221 = (2)*(3)*(5^2)*(13)*(17)\nThere are five distinct prime factors, {2, 3, 5, 13, and 17}
The answer: (B).
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