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This problem trains for: SAT-I, AMC-8, GMAT.

If the product of all the multiples of 5 from 5 to 5N inclusive equals 15,000 what is the value of N! ('N factorial' - a factorial is a product of consecutive integers ranging from 1 to a final value N)?

The product depends on N:

equation

Since the factoring of any integer is unique, let us factor 15,000:

equation

equation

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