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If m is the smallest positive integer such that m! is a multiple of 4125, and n is the smallest positive integer such that n! is a multiple of 281600, then find n-m.

 

Thanks for helping!

 Sep 2, 2020
 #1
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n - m = 5.

 Sep 2, 2020
 #4
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looks like that's wrong

PocketThePenguin  Sep 2, 2020
 #2
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The smallest m = 15 and the smallest n = 16

 

n - m = 16 - 15 = 1

 Sep 2, 2020
 #3
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erm... that's incorrect

PocketThePenguin  Sep 2, 2020
 #5
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m = 15  and   n = 13

 

n - m = - 2

Guest Sep 2, 2020
 #6
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@pocketthepenguin has this been verified, or shall I give it a shot?

Nacirema  Sep 3, 2020

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