Solution
The number of zeros in n! = highest power of 5 in n!
Highest power of 5 in 1024! = [$$\frac{1024}{5}$$] + [$$\frac{1024}{25}$$] +[$$\frac{1024}{125}$$] + [$$\frac{1024}{625}$$] where [ ]is the greatest integer function.
Highest power of 5 in 1024! = 204+ 40+ 8+ 1 = 253
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