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AMC10 2027 - Self-practice Set 2 Question 12

AMC10 · AMC10 2027 - Self-practice Set 2

Question 12

Let $M=2^4\cdot3^6\cdot5^{10}\cdot7^9$. How many positive divisors of $M$ are odd perfect squares?
  1. $96$
  2. $120$
  3. $280$
  4. $360$
  5. $2160$