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 1)

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

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

The square root of the original number is the product of the paired values.
In the image above this would be:
3×5×2=30