Difference between revisions of "2003 AMC 10A Problems/Problem 8"
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[[Category:Introductory Number Theory Problems]] | [[Category:Introductory Number Theory Problems]] | ||
Revision as of 11:15, 15 January 2008
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 
.
See Also
| 2003 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
