Question

Find the square root of $256$ by prime factorization method

Answer 1

Find the square root of $256$

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;

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

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

$\Rightarrow \sqrt{256}=16$

Hence the square root of $256$ is $16$