Choose the correct answer for the following:
Find the smallest number by which the number 88 must be divided to obtain a perfect cube
Prime Factorization:
⇒ 88 = 2 × 2 × 2 × 11
The prime factor 11 does not appear in triplet.
∴ 88 is not a perfect cube.
Since in factorization, 11 appear only one time, we should divide the number 80 by 11.
⇒ 88 ÷ 11 = 8
= 2 × 2 × 2
= 23
∴ The smallest number by which the number 88 must be divided to obtain a perfect cube is 11.
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