256 is perfect cube? In case of perfect cube, find the number whose cu

1.	256 is perfect cube? In case of perfect cube, find the number whose cube is the given number.
Answer» A perfect cube can be expressed as a product of three numbers of equal factors Now by resolving the given number into prime factors we get, 256 = 2 × 2 × 2 × 2 × 2× 2 × 2 × 2 Since the given number has more than three factors ∴ 256 is not a perfect cube.

256 is perfect cube? In case of perfect cube, find the number whose cube is the given number.

Answer»

A perfect cube can be expressed as a product of three numbers of equal factors

Now by resolving the given number into prime factors we get,

256 = 2 × 2 × 2 × 2 × 2× 2 × 2 × 2

Since the given number has more than three factors

∴ 256 is not a perfect cube.