- Build a Factor Tree. Break your big number down into smaller building blocks called
- prime numbers (numbers that can’t be split up any further, like 2, 3, 5, or 7). Keep splitting the numbers until you reach the bottom of the tree.
- Make Groups of Three. Cube roots are all about sets of three. Look at the numbers at the bottom of your tree and group them into matching trios (three of the exact same number).
- Pick One from Each Group. For every threes you made, just take one number out.
Multiply Them Together.
Multiply those chosen numbers together, and boom—you have your final cube root answer!