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1.0k views
in Cubes And Cube Roots by (31.2k points)
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By what least number should 324 be multiplied to get a perfect cube? 

A. 12 

B. 14 

C. 16 

D. 18

1 Answer

+1 vote
by (30.8k points)
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Best answer

From the prime factorization of 324 we get,

= 324 = 2 × 2 × 3 × 3 × 3 × 3 = 3 x 3 x 3 x 2 x 2 x 3

So to make it a perfect cube we must complete the triplet pairs of 2’s and 3’s.

Hence, it will be multiplied by 2 × 3 × 3 = 18.

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