Question

Find the smallest number by which 2560 must be multiplied so that the product is a perfect cube.​

Answer 1

Answer:

25

Step-by-step explanation:

2560=2×2×2×2×2×2×2×2×2×5

=2

3

×2

3

×2

3

×5.

∴2

3

×2

3

×2

3

×5(5×5) is a perfect cube.

So we should multiply 2560 by (5×5)=25 to make it a perfect cube.