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Find the largest power of 5 contained in...

Find the largest power of 5 contained in `124!` .

Text Solution

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`abs(124/5)+abs(124/5^2)=24+4=28`
[We cannot do it further since 124 is not divisible by `5^3`]
Hence, there are 28 times 5 involved as a factor in `124!
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