Prime Factorisation: Six Factor Trees
- Pages
- 1
- File type
- Subject
- Division, Multiplication and Division, Numbers, Math
- Resource types
- Worksheets, Worksheets & Printables
- Ontario expectations
- B2.6
From the author
About this resource
Model how a tree ends when every branch reaches a prime number. Encourage students to check their result by multiplying the prime factors back together.
Curriculum reference — Ontario: Prime decomposition requires its own grade decision rather than the original Grades4–6 range. Ontario Grade6 explicitly includes prime-factor trees. Selected skills only; reference stage is not an overall reading age, complete curriculum coverage, or an automatic recommendation for every learner.
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In the classroom
Teaching tips & learning objectives
Learning objectives
- Break a whole number down into its prime factors using a factor tree
- Apply the same factorization method consistently across numbers of varying size (two-digit to 120)
Teaching tips
- Model one factor tree before students begin.
- Compare different valid starting pairs where available, and check that they lead to the same prime factorization.
Skills covered
- Prime factorization — students break down six numbers, from 45 up to 120, into their prime factors.
- Factor-tree method — students use a blank tree diagram to organize repeated division into prime factors.
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Ontario curriculum
Ontario curriculum expectations
Ontario expectations
Ontario expectations
- B2.6 — represent composite numbers as a product of their prime factors , including through the use of factor trees
Core concepts
Core concepts
- Prime factorization
- Factor trees
- Prime numbers
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