2005 Alabama ARML TST Problems/Problem 6
From AoPSWiki
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 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
