# Using Prime Factorisation Find The Cube Roots Of (A) 512 and (B) 2197

The cube root of 512 by prime factorization method

512 = (2×2×2) × (2×2×2) × (2×2×2)}

= 8 * 8 * 8

The cube root of 512 is 8.

$$\begin{array}{l} \sqrt[3]{512} = \sqrt[3]{8} \end{array}$$

The cube root of 2197 by prime factorization method

2197 = 13 * 13 * 13

The cube root of 2197 is 13

$$\begin{array}{l} \sqrt [3]{2197} = \sqrt[3]{13} \end{array}$$

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