2016 UNCO Math Contest II Problems/Problem 2

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Problem

Fearsome Foursome

Factorial Find the complete prime factorization of \[\frac{(4!)!}{[(3!)!]^4}\] (The answer will be a product of powers of eight distinct primes.)

Solution

{$2^6*3^2*7^3*11^2*13*17*19*23$}

See also

2016 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions