What is the largest power of 5 that divides the product of the first 100 positive integers?
Question by Ayereiss K: What is the largest power of 5 that divides the product of the first 100 positive integers?
I need help on how to solve this problem, can you please explain how you did so I can understand. Power of 5 is like 5^x and remember, it’s the LARGEST power of 5 that DIVIDES the PRODUCT of 1x2x3…98x99x100. Thanks!
The product of those integers is a multiple of 5 because I’ve found a pattern showing it would end with 0. I still don’t have the answer though.
Best answer:
Answer by Jacob
no solution, 5^anything cant divide anything else unless it is a multipe of 5, if u multply 2,3,4,6,7,8,9 in those 100 #s, it is impossible
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