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

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

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 Image

As 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 Image

Hence, the correct answer is option 1.

Watch 3-min video & get full concept clarity