SOLUTION: what is the smallest positive value for X such that 180X is a perfect cube?

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Question 391576: what is the smallest positive value for X such that 180X is a perfect cube?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
180+=+2%5E2%2A3%5E2%2A5. Hence for the smallest positive value of X that will make 180X a perfect cube is 2%2A3%2A5%5E2+=+150. As a check,