How many factors are needed to obtain a product of 50000?

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$\frac{3}{2}*\frac{4}{3}*\frac{5}{4}...=50,000$

How many factors are needed? I would appreciate an explanation.

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Hint: Look at the first few products. What cancels? Can you express the product of the first $n$ terms nicely in terms of $n$?