2018 UNCO Math Contest II Problems/Problem 4
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 |