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TIMO 2019 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 3 Question 14

TIMO · TIMO 2019 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 3

Question 14

Find the largest integer $n$ for which $\frac{4000!}{15^n}$ is a positive integer.
  1. 999
  2. 998
  3. 997
  4. 996