Find the cube root of 8000 by using the prime factorisation method.

To find the cube root we will do the prime factorization of 8000.

$8000=2\times 2\times 2\times 2\times 2\times 2\times 5\times 5\times 5$

Taking cube root on both sides, we get:

$\sqrt[3]{8000}=\sqrt[3]{(2\times 2\times 2)\times (2\times 2\times 2)\times (5\times 5\times 5)}$

$=2\times 2\times 5$

$=20$

Hence the cube root of 8000 is 20.