Terminate Half the Numbers

Number Theory Level 3

\[ \large \frac{100!}{50!}\]

How many trailing zeros are there in the value of the number above?

Details and Assumptions

Trailing zeros are a sequence of \(0\)s in the decimal representation of a number, after which no other digits follow. For example, the trailing zeros of the number \(13,950,200,000 \) is \(5\)


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