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Q.

What is the smallest number by which 841 can be multiplied so that the product becomes a perfect cube?


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a

28

b

29

c

30

d

32 

answer is B.

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Detailed Solution

It is required to find the smallest number by which 841 can be multiplied so that the product becomes a perfect cube.
First, use prime factorization to first express the supplied number as a product of prime factors.
⇒841=29×29   To get the ideal cube number, multiply 29 by the factor that does not present in this grouping (triples)Therefore, 29 is the least amount by which 841 can be multiplied for the result to be a perfect cube.
Therefore, 29 is the least amount by which 841 can be multiplied for the result to be a perfect cube.
Therefore, option 2 is correct.
 
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