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TIMO 2020 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 2 Question 11

TIMO · TIMO 2020 - Senior Secondary (Grades 10-12) - Preliminary Round - Paper 2

Question 11

Find the largest integer $n$ for which $\frac{123!}{6^n}$ is an integer.
  1. 117
  2. 59
  3. 176
  4. 23