2000 AMC 12 Problems/Problem 7
Problem
How many positive integers have the property that is a positive integer?
Solution
If , then . Since , must be to some factor of 6. Thus, there are four (3, 9, 27, 729) possible values of .
See also
2000 AMC 12 (Problems • Answer Key • Resources) | |
Preceded by Problem 6 |
Followed by Problem 8 |
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All AMC 12 Problems and Solutions |
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