Question

what is the smallest number by which 1350should bemultiplied so that the product is perfect cube​

Answer 1

1350 = 2×3×3×3×5×5

For perfect cube we need a group of 3 digits

So here we found that their is lack of two 2's and one 5 to make it perfect cube.

So We need:-

2 × 2 × 5 = 20

So,

The smallest no by which 1350 should be multiplied to make it perfect cube is 20.

Now,

=> 1350 × 20 = 27000

$\sqrt[3]{27000} = 30$

Hence now it is a perfect cube.