Question

By which smallest number must 500 be divided so that quotient is a perfect cube?​

Answer 1

Answer:

2

Step-by-step explanation:

Prime factorising 500,we get

500 = 5 × 5 × 5 × 2 × 3

= 5^3 × 2 ^2

we know that , a perfect cube has multiple of 3 AS power of prime factors.

Here, number of 2's is 2 and a number of 5 's is 3 . so we need to multiply another 2 to the factorization to make 500 a perfect cube.

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

Hope it helps you