# How can I find the square root of a number using factor trees?

##### 1 Answer

Apr 25, 2015

Starting with the number

create branches to factors

then factor each branch until none of the branches

have factors (other than themselves and

The terminal branches become the "leaves" of your "factor tree"

Group them in pairs of equal valued leaves as in the image below:

The square root of the original number is the product of the paired values.

In the image above this would be: