Difference between revisions of "2005 AMC 10A Problems/Problem 15"
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Revision as of 15:05, 1 January 2017
Contents
[hide]Problem
How many positive cubes divide ?
Solution
Solution 1
Therefore, a perfect cube that divides must be in the form
where
,
,
, and
are nonnegative multiples of
that are less than or equal to
,
,
and
, respectively.
So:
(
possibilities)
(
possibilities)
(
possibility)
(
possibility)
So the number of perfect cubes that divide is
Solution 2
Answer :
See Also
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