Advertisement
Factor Tree Generator
Type a number to grow a tree and find all of its prime factors!
Quick Trees:
Advertisement
Understanding Factor Trees
What is a Factor Tree?
A factor tree is a special diagram used to break down a number into its basic building blocks, called Prime Factors. You keep splitting the numbers into smaller factors until you can't split them anymore!
The Golden Rule:
Every branch on the tree must multiply together to equal the number directly above it.
Prime vs. Composite
-
Prime Numbers (The Leaves) Numbers that can only be divided by 1 and themselves (like 2, 3, 5, 7, 11). Once you hit a prime number, that branch stops growing!
-
Composite Numbers (The Branches) Numbers that have more than two factors (like 4, 6, 8, 9). These numbers must be split again.
How to Build Your Own
1
Pick a Number
Start with any number at the top. E.g., 24.
2
Find Two Factors
Think of two numbers that multiply to make the top number. E.g., 4 × 6 = 24.
3
Keep Splitting
Split the new numbers until all bottom numbers are Prime! E.g., 4 becomes 2×2, and 6 becomes 2×3.
Advertisement