- Definition
A factor tree is like a family tree for a number, where you break down a number into smaller and smaller numbers that multiply together to make it, until you can't break them down any further.
A factor tree for 12 could start with branches to 2 and 6, and then the 6 would branch again into 2 and 3.
How to teach this in 30 seconds
Try this analogy: A factor tree is like a family tree for a number, showing the smaller numbers that multiply together to create it.
Ask your child: If 20 is the top of our tree, what could its first two branches be?
Common mix-up: Kids may think there's only one right pair of factors to start with. No matter which factors you choose for your first branches, the final 'leaves' of the tree will always be the same.
Examples
- The factor tree for 12 could also start with branches to 3 and 4, with the 4 then branching into 2 and 2.
- A factor tree for 18 might branch into 2 and 9, with the 9 then branching into 3 and 3.
factor tree is a term used in Ontario’s Kindergarten to Grade 8 curriculum.
Where this shows up
The descriptions on this page are SmartStudy’s own original, plain-language writing — not the Ministry’s wording. They are aligned to the Ontario Curriculum, © King’s Printer for Ontario. For the Ministry’s official wording, see the source link below. SmartStudy is an independent service and is not affiliated with, endorsed by, or sponsored by the Government of Ontario or the Ministry of Education. Ontario Curriculum and Resources ↗