Question

which number multiply by 5400 to make it perfect cube

Answer 1

Find the prime factor of 5400:

5400 = 2³ x 3³ x 5²

Define k:

Let k be the number that 5400 needs to multiply to make it into a perfect cube

FInd k:

To be a perfect cube, the exponents must be in multiple of 3s.

5400 = 2³ x 3³ x 5²

5400k = 2³ x 3³ x 5³

therefore k = 5

Answer: The number is 5.