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

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 $1$)

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:
$\textcolor{red}{3 \times 5 \times 2 = 30}$