What is the greatest positive power of 5 that divides 30! exactly? option 1 : 5 option 2 : 6 option 3 : 7 option 4 : 8 ques 21?
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The question is, how many powers of 5 are in the factors of 30! (that's 30 factorial, for those above)...
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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