Cube Root of 314432

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What is the cube root of 314,432?

Answer

∛314,432 =
68

Real cube root: the only number whose cube is 314,432.

Prime factors
314,432 = (2 × 2 × 2) × (2 × 2 × 2) × (17 × 17 × 17) = 2⁶ × 17³
Take out of the root
∛314,432 = ∛((2³)² × 17³) = 2² × 17 = 68
Check
68 × 68 × 68 = 314,432 ✓

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
274,62565
287,49666
300,76367
314,43268
328,50969
343,00070
357,91171

FAQ

What is the cube root of 314,432?

∛314,432 = 68

What number cubed is 314,432?

68, because 68 × 68 × 68 = 314,432. So ∛314,432 = 68 exactly: 314,432 is a perfect cube, 68³.

Is ∛314,432 a rational number?

Yes: ∛314,432 = 68, a whole number.

See Also