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Factoring Factorials
Age 11 to 14
Challenge Level 
Possible extension.
This problem is a special case of Factorial Fun.
Possible support
See also Fac Finding and Powerful Factorialwhich are also special cases.
This problem is a special case of Factorial Fun.
Possible support
See also Fac Finding and Powerful Factorialwhich are also special cases.
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Powerful Factorial
6! = 6 x 5 x 4 x 3 x 2 x 1. The highest power of 2 that divides exactly into 6! is 4 since (6!) / (2^4 ) = 45. What is the highest power of two that divides exactly into 100!?
