Find the square root of 256 by the Prime Factorisation Method.

To find the square root we will do the prime factorization of 256.

$256=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

Taking square root on both sides, we get:

$\sqrt{256}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}$

$\Rightarrow \sqrt{256}=2\times 2\times 2\times 2=16$

Hence the square root of 256 is 16.