What is the square root of 361?

To find the square root of 361 using factorization method, we can factorize 361 as a product of two equal factors as follows:

361 = 19 x 19

So the square root of 361 is:

$\sqrt{361}=\sqrt{19\times 19}$

Simplifying further, we get:

$\sqrt{361}=19$

The square root of a number is a value that, when multiplied by itself, equals the original number.

The square of 19 is 361 (19 x 19 = 361), so the square root of 361 is 19.