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Mathematics 14 Online
OpenStudy (anonymous):

What is the smallest positive value for x such that 180x is a perfect cube?

OpenStudy (dumbcow):

150

OpenStudy (anonymous):

180 is 2 * 2 * 3 * 3 * 5 in order to be a perfect cube, you would need 3 of each of the factors so you would need 1 more 2, 1 more 3 and 2 more 5's which would be 2 * 3 * 25 = 150

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