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Q.

What is the least number by which 72 is divided to make it a perfect cube?


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a

6

b

7

c

8

d

9 

answer is D.

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Detailed Solution

It is required to find the least number by which 72 is divided to make it a perfect cube.
First, prime factorize the supplied number to express it as a product of prime factors. Next, group the factors into three groups.
⇒72=2×2×2×3×3= 2 3 × 3 2  
The number 3 occurs twice, so 9 is the least number by which 72 is divided to make it a perfect cube.
Therefore, option 4 is correct.
 
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