what is the greatest power of 5 that divedes 30! exactly?
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The question says how many powers of 5 are there in 30!
Only the numbers 5,10,15,20, 25, 30 are divisors of 5 and 25 is divisible by 5^2 ( 5*5)
Therefore the total number of five's are 7.
Hence the greatest positive power of 5 that divides 30! is 7.
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