Cube Root of 140608

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Cube root of

What is the cube root of 140,608?

Answer

∛140,608 =
52

Real cube root: the only number whose cube is 140,608.

Prime factors
140,608 = (2 × 2 × 2) × (2 × 2 × 2) × (13 × 13 × 13) = 2⁶ × 13³
Take out of the root
∛140,608 = ∛((2³)² × 13³) = 2² × 13 = 52
Check
52 × 52 × 52 = 140,608 ✓

See Also

Cube roots of nearby values

FAQ

What is the cube root of 140,608?

∛140,608 = 52

What number cubed is 140,608?

52, because 52 × 52 × 52 = 140,608. So ∛140,608 = 52 exactly: 140,608 is a perfect cube, 52³.

Is ∛140,608 a rational number?

Yes: ∛140,608 = 52, a whole number.