2003 AMC 12A Problems/Problem 8
Revision as of 10:13, 11 November 2006 by JBL (talk | contribs) (2003 AMC 12A/Problem 8 moved to 2003 AMC 12A Problems/Problem 8)
Problem
What is the probability that a randomly drawn positive factor of is less than
Solution
For a positive number which is not a perfect square, exactly half of the positive factors will be less than .
Since is not a perfect square, half of the positive factors of will be less than .
Clearly, there are no positive factors of between and .
Therefore half of the positive factors will be less than .
So the answer is .