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HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 03 Question 11

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 03

Question 11

Find the largest integer $n$ such that $123!/6^n$ is an integer.
  1. 117
  2. 59
  3. 176
  4. 23