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Q.

What is the least number by which 250 is multiplied to make it a perfect cube?


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a

4

b

8

c

12

d

16 

answer is A.

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Detailed Solution

It is required to find the least number by which 250 is multiplied to make it a perfect cube.
Now use prime factorization to translate the provided number into a product of prime factors, grouping the factors in triple form.
⇒250=2×5×5×5=2× 5 3   In the triples, just one 2 appears. Therefore, two 2s will be needed.
In order to create a perfect cube, 250 must be multiplied by 4 at the least.
Therefore, option 1 is correct.
 
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