Question

smallest number by which 250 must be multiplied so that the product is perfect cube​

Answer 1

Given,

The initial number is 250.

To find,

The smallest number which can multiplied with 250 in order to produce a perfect cube.

Solution,

First of all, we need to do the prime factorization of the initial number and we just need to make sure,that count of every individual prime factors are three in total.

Prime Factors :

250 = 5×5×5×2

So,the two individual prime factors are = 5 & 2

The count of 5 is already three but the count of 2 is one. That's why we need to add two more 2 to make it a perfect cube.

The perfect cube = 5×5×5×2×2×2 = 1000 = (10)³

Hence,the smallest number is 4 (2×2).

Answer 2

Hi friends I am Muskan

I like maths

You like matha

250=2*5*5*

2*√5

The perfect cube is

2