2005 Alabama ARML TST Problems/Problem 6
Problem
How many of the positive divisors of are perfect cubes?
Solution
. We want to know how many numbers are in the form which divide . This imposes the restrictions , and , which lead to 12 solutions and thus 12 such divisors.
See Also
2005 Alabama ARML TST (Problems) | ||
Preceded by: Problem 5 |
Followed by: Problem 7 | |
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