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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-2
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-01NZC26-P3-NUM-NSO-K-Y8-04NZC26-P3-NUM-NSO-P-Y8-07
Resources
- CorbettMaths on prime factorsQuestions PDF · Answers
Terminology
- prime number
- factors
- factor tree
- product form (for example, 2 x 2 x 2 x 2 x 5)
- index form (for example, 2^4 x 5)
Task goals
- Identify which numbers in a given list are prime.
- Write a given number as a product of prime factors using a factor tree.
- Complete a partially-filled prime factorisation by finding the missing factor(s).
- Write a number's prime factorisation in index form.
- Choose which of two given expressions is the correct prime factorisation of a number, or judge whether a stated factorisation is valid and explain why.
- Find the original number from its prime factorisation given in index form, and verify a stated factorisation is correct by multiplying the factors back together.
- Compare the prime factorisations of two numbers to determine which number is larger, or find a missing exponent or factor in a partially-given factorisation.
- Explain, using a worked example, why a composite number has only one possible set of prime factors.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
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Prime Factors
Know
Each composite number can be represented as a unique product of prime factors and summarised with exponent notation.
Statement▸
Year 8 · Number · Number structures and operations
NZC26-P3-NUM-NSO-K-Y8-04
Do
Representing composite numbers as products of their prime factors, using exponents to summarise repeated factors (e.g. 36 = 2 × 2 × 3 × 3 = 2^2 × 3^2)
Statement▸
Year 8 · Number · Number structures and operations
NZC26-P3-NUM-NSO-P-Y8-07
Also under NA5-2:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.