SOLUTION: what is the smallest positive integer that must be multiplied to 60 to get a perfect cube?And how you solve that.

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Question 1062525: what is the smallest positive integer that must be multiplied to 60 to get a perfect cube?And how you solve that.
Answer by ikleyn(52780) About Me  (Show Source):
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what is the smallest positive integer that must be multiplied to 60 to get a perfect cube?And how you solve that.
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60 = 3*4*5 = 3%2A2%5E2%2A5.


You need to have 3%5E3%2A2%5E3%2A5%5E3, so the factor under the question is 3%5E2%2A2%2A5%5E2 = 9*2*25 = 450.


Answer. The factor/multiplier under the question is 450.
        60*450 = 27000 = 30%5E3.