Difference between revisions of "2005 Alabama ARML TST Problems/Problem 6"
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[[Category:Introductory Number Theory Problems]] | [[Category:Introductory Number Theory Problems]] | ||
Revision as of 11:42, 11 December 2007
Problem
How many of the positive divisors of 3,240,000 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 | ||
