Difference between revisions of "2016 UNCO Math Contest II Problems/Problem 2"

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== Solution ==
 
== Solution ==
{<math>2^6*3^2*7^3*11^2*13*17*19*23</math>}
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<math>\boxed{2^6*3^2*7^3*11^2*13*17*19*23}</math>
  
 
== See also ==
 
== See also ==

Latest revision as of 23:41, 16 February 2016

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

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

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