2003 AMC 10A Problems/Problem 8
Revision as of 19:02, 4 November 2006 by Xantos C. Guin (talk | contribs) (added problem and solution)
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 .