2012 UNCO Math Contest II Problems/Problem 1
Problem
(a) What is the largest factor of that is not a multiple of ?
(b) If satisfies , then what is the largest perfect square that is a factor of ?
Solution
(a) (b)
The prime factorization of is
.
We need to get the largest factor of which isn't a multiple of , so we can't include both and . is greater than , so we'll use that and to get .
The largest square factor of is =
See Also
2012 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |