Question

find the smallest number by which 2560 must be multuplied so that the product becomes a perfect cube

Answer 1

Let k be the number to be multiplied so that 2560k is a perfect cube.

.

2560 = 2⁹ x 5

2560k = 2⁹ x 5³

therefore k = 5² = 25

.

Answer: The number to multiplied is 25

Answer 2

Solution is that to make it a perfect cube you have to multiply 2560 by 25.
Hope it helps you