Difference between revisions of "2013 UNCO Math Contest II Problems/Problem 2"

m (moved 2013 UNC Math Contest II Problems/Problem 2 to 2013 UNCO Math Contest II Problems/Problem 2: disambiguation of University of Northern Colorado with University of North Carolina)
m
Line 14: Line 14:
  
 
== See Also ==
 
== See Also ==
{{UNC Math Contest box|n=II|year=2013|num-b=1|num-a=3}}
+
{{UNCO Math Contest box|n=II|year=2013|num-b=1|num-a=3}}
  
 
[[Category:Introductory Number Theory Problems]]
 
[[Category:Introductory Number Theory Problems]]

Revision as of 20:50, 19 October 2014

Problem

EXAMPLE: The number $64$ is equal to $8^2$ and also equal to $4^3$, so $64$ is both a perfect square and a perfect cube.

(a) Find the smallest positive integer multiple of $12$ that is a perfect square.

(b) Find the smallest positive integer multiple of $12$ that is a perfect cube.

(c) Find the smallest positive integer multiple of $12$ that is both a perfect square and a perfect cube.

Solution

See Also

2013 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