Question

the least possible positive value of A for which 32×A is a perfect cube is _____


please answer ..​

Answer 1

Prime Factors of 32 = 2 x 2 x 2 x 2 x 2

There is one triplet of two , to complete the second triplet one 2 is required

∴ Least possible value to make 32 x A a perfect cube is 2.

Checking the answer: 32 x 2 = 64

$\sqrt[3]{64 } = 4$

value less than two can be 1 , but if we put one then it will become 32 x 1 i.e 32 , 32 is not a perfect cube.

So the possible value is 2 ✔