Question

3000 divide 4642 show that why answer is 0.65​

Answer 1

Answer:

Find the prime factors of 3000:

3000 = 2³ x 3 x 5³

Define k:

Let k be the number that 3000 needs to divide by.

To be a perfect cube, the exponent must be in the multiples of 3s:

3000 = 2³ x 3 x 5³

3000k = (2³ x 3 x 5³) ÷ 3 = 2³ x 5³

therefore k = 3

Answer: The smallest number that 3000 needs to divide by is 3