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HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 05 Question 15

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 05

Question 15

Find the largest integer $n$ for which $321!/10^n$ is a natural number.
  1. 35
  2. 64
  3. 32
  4. 78