Cube Root of 262144

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Cube root of

What is the cube root of 262,144?

Answer

∛262,144 =
64

Real cube root: the only number whose cube is 262,144.

Prime factors
262,144 = 2¹⁸ = (2³)⁶
Take out of the root
∛262,144 = ∛((2³)⁶) = 2⁶ = 64
Check
64 × 64 × 64 = 262,144 ✓

See Also

Cube roots of nearby values

FAQ

What is the cube root of 262,144?

∛262,144 = 64

What number cubed is 262,144?

64, because 64 × 64 × 64 = 262,144. So ∛262,144 = 64 exactly: 262,144 is a perfect cube, 64³.

Is ∛262,144 a rational number?

Yes: ∛262,144 = 64, a whole number.