Difference between revisions of "2018 UNCO Math Contest II Problems/Problem 4"
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Latest revision as of 13:34, 2 June 2023
Problem
How many positive integer factors of 
are not perfect squares?
Solution
We can use complementary counting. Taking the prime factorization of , we get 
.So the total number of factors of is 
factors. Now we need to find the number of factors that are perfect squares. So back to the prime factorization, 
. Now we get 
factors that are perfect squares. So there are 
positive integer factors that are not perfect squares.
~Ultraman
See also
| 2018 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
