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2017 AMC 12B Question 16

AMC12 · 2017 AMC 12B

Question 16

The number $21!$ $= 51{,}090{,}942{,}171{,}709{,}440{,}000$ has over $60{,}000$ positive integer divisors. One of them is chosen at random. What is the probability that it is odd?
  1. $\dfrac{1}{21}$
  2. $\dfrac{1}{19}$
  3. $\dfrac{1}{18}$
  4. $\dfrac{1}{2}$
  5. $\dfrac{11}{21}$