Find the cube root of 3375 by using the prime factorisation method.

To find the cube root we will do the prime factorization of 3375.

$3375=5\times 5\times 5\times 3\times 3\times 3$

Taking cube root on both sides, we get:

$\sqrt[3]{3375}=\sqrt[3]{(5\times 5\times 5)\times (3\times 3\times 3)}$

$=5\times 3$

$=15$

Hence the cube root of 3375 is 15.