Number Theory
# Factorials

How many trailing zeros does \(19!\) have?

Find the number of trailing zeros in \(19!\times59!\times158!.\)

If \(x!\) has \(112\) trailing zeros, what is the smallest possible integer \(x?\)

How many trailing zeros does \(247!\) have?

Find the number of trailing zeros in \(303!+304!+305!.\)

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