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What Is The Greatest Positive Power Of 5 That Divides 30! Exactly?

Answer»

Only the numbers 5, 10, 15, 20, 25, and 30 have DIVISORS of 5. And 25 is divisible by 5^2.

So the ANSWER is 5*5*5*5*(5^2)*5 = 5^7.

Only the numbers 5, 10, 15, 20, 25, and 30 have divisors of 5. And 25 is divisible by 5^2.

So the answer is 5*5*5*5*(5^2)*5 = 5^7.



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