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How many zeros are at the end of (100!)(200!)(300!)(400!) when multiplied out?

 Feb 13, 2021
 #1
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A hint:

 

The number of trailing 0s is the number of factors of 5 in the whole expression. So if you can work out an approach to find out all the factors of 5, then you've solved it.

 

-CitrusCornflakes :)

 Feb 13, 2021

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