Cube Root of 157464

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Cube root of

What is the cube root of 157,464?

Answer

∛157,464 =
54

Real cube root: the only number whose cube is 157,464.

Prime factors
157,464 = (2 × 2 × 2) × (3 × 3 × 3) × (3 × 3 × 3) × (3 × 3 × 3) = 2³ × 3⁹
Take out of the root
∛157,464 = ∛(2³ × (3³)³) = 2 × 3³ = 54
Check
54 × 54 × 54 = 157,464 ✓

See Also

Cube roots of nearby values

FAQ

What is the cube root of 157,464?

∛157,464 = 54

What number cubed is 157,464?

54, because 54 × 54 × 54 = 157,464. So ∛157,464 = 54 exactly: 157,464 is a perfect cube, 54³.

Is ∛157,464 a rational number?

Yes: ∛157,464 = 54, a whole number.