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AMC10 2027 - Self-practice Set 3 Question 15

AMC10 · AMC10 2027 - Self-practice Set 3

Question 15

Bob computes $10!$ in decimal and writes the result in base $12$. This representation has exactly $k$ trailing zeros. What is the decimal value of $k$?
  1. $2$
  2. $4$
  3. $5$
  4. $7$
  5. $8$