Te reo Māori terms
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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-Y9-01NZC26-P3-NUM-NSO-K-Y7-05NZC26-P3-NUM-NSO-K-Y7-06NZC26-P3-NUM-NSO-P-Y7-06NZC26-P3-NUM-NSO-P-Y7-07
Resources
- Alpha textbook: Factors, Ex 4.04, pg 72
- Alpha textbook: Highest Common Factor, Ex 4.06, pg 74
- CorbettMaths FactorsQuestions PDF · Answers
- CorbettMaths Common Factors and HCFQuestions PDF · Answers
- CorbettMaths Prime NumbersQuestions PDF · Answers
- CorbettMaths Product of Primes (extension)Questions PDF · Answers
Terminology
- factor
- common factor
- highest common factor
- prime number
- composite number
- divisible
- factor pair
- prime factor
- factor tree
- product form
- index form
Task goals
- List all the factors of a whole number systematically in factor pairs so none are missed.
- Decide whether a number is prime or composite, knowing that $1$ is not prime and $2$ is the only even prime.
- List the factors of two numbers, compare the lists to find their common factors, and identify the highest common factor (HCF).
- Check whether a stated factor, common factor, or HCF is correct, and explain any error.
- Use a factor tree to write a whole number as a product of prime factors, in both repeated-product and index form.
- Solve a reasoning problem that uses factor counts, such as finding a number in a given range with an exact number of factors.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
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Factors, Highest Common Factors & Primes
Know
Whole numbers greater than zero are either prime, composite, or the number 1. A prime number has exactly two distinct factors: 1 and the number itself.; A composite number has more than two distinct factors.; 1 is neither prime nor composite.
Statement▸
Year 7 · Number · Number structures and operations
NZC26-P3-NUM-NSO-K-Y7-05
Know
The highest common factor (HCF) of two numbers is the greatest number that is a factor of both the numbers.
Statement▸
Year 7 · Number · Number structures and operations
NZC26-P3-NUM-NSO-K-Y7-06
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.