Question

find the smallest number by which 200 shold be multiplied to make it a perfect cube.​

Answer 1

Answer:

Step-by-step explanation:

Let us fist split 200 to it's prime factors.

So we get the factors to be =

2 × 2 × 2 × 5 × 5

So we should get all the prime factors 3 times. But we only have two 5.

So we should multiply another 5 to make it a perfect cube.

200 × 5 = 1000

1000 = 10 × 10 × 10

So the smallest number is 5