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Q.

By what least number should 1536 be divided to get a perfect cube.


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a

8

b

9

c

10

d

11 

answer is A.

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Detailed Solution

Concept- We will begin creating factors of 1536 in accordance with the question provided. This indicates that until the quotient equals 1, we shall begin with the lowest prime number of 1536. Thus, to find the cube root, take all the elements from the number you are dividing and create all the triplet pairs. Then divide the number that is left and does not form a triplet.
As a result, we must use the factorization method to determine the cube root of 1536.
Question ImageQuestion ImageAs there are still 3 numbers left, none of which are triplets, we must divide 1536 by 3 to obtain a perfect cube, which is 1.
Question ImageHence, the correct answer is option 1.
 

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