If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n?

If n is a positive integer and n^3 is a multiple of 550, what is the least possible value of n?

Quiz

Answer/Solution

110

Steps/Work

cube of a number entails having 3 copies of the original prime factors. Since 550 is a factor of n^3 the least possible value of n is 5(11)2 = 110
the answer is D.

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If n is a positive integer and n ^ is a multiple of , what is the least possible value of n?

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