2016 UNCO Math Contest II Problems/Problem 2

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.)

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

2016 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 1	Followed by Problem 3
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All UNCO Math Contest Problems and Solutions