Question

find the smallest number which should be multiplied so as to get a perfect cube in 500

​

Answer 1

Answer:

Hence, the smallest number by which 500 must be multiplied to obtain a perfect cube is 2.

Answer 2

Answer:

The answer is 2.

Step-by-step explanation:

by using prime factorization,

   500 = 5×5×5×2×2

           = $5^{3} 2^{2}$

Here, number of 2's is 2 and number of 5's is 3.

here , we need to multiply  2 to the factorization to make 500 a perfect cube.

Therefore, the smallest number by which 500 must be multiplied to obtain a perfect cube is 2.