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MathNet 2022-part-04 — 197 problems (EN–VI) Question 62

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 62

Let $m$ and $n$ be relatively prime positive integers. If $m^{3} n^{5}$ has 209 positive divisors, then how many positive divisors does $m^{5} n^{3}$ have?