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Factors, multiples, and primes (age 11+)

Your child can find the highest number that divides into two numbers, like 24 and 36. They can break numbers into their prime factors.

In curriculum terms

Use the concepts and vocabulary of prime numbers, factors, multiples, common factors, common multiples, highest common factor (HCF), lowest common multiple (LCM), and prime factorisation including product notation and the unique factorisation property

Ages are typical, not deadlines — follow your child’s pace. How to help at home →

How to tell they’ve got it

Tick these off as you see them — no test required.

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Try this together

Can your child find the highest common factor of two numbers like 24 and 36 — working out the biggest number that divides exactly into both — and explain how they found it?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on
Factors, multiples, and primesages 9–11HCF/LCM/prime factorisation extends Y5-6 factor pairs and common factors/multiples
Factors, multiples, and primes (age 11+)this skill · ages 11–12
Unlocks
Nothing on the map depends on this yet.

solid = must come firstdashed = helps

Curriculum alignment

Where this fits in the official school curriculum — our best automated guess, not yet checked by a person.

Show candidate curriculum codes · 3 ACARA · 3 VIC

Australian Curriculum v9 candidate

AC9M5N02medium confidenceYear 5 · Number

express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another

AC9M6N02medium confidenceYear 6 · Number

identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations

AC9M5N10medium confidenceYear 5 · Number

create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns

Victorian Curriculum 2.0 codes & levels only

VC2M5N02medium confidenceMathematics · Level 5 · Number strand
VC2M6N02medium confidenceMathematics · Level 6 · Number strand
VC2M5N03low confidenceMathematics · Level 5 · Number strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

All Multiplication & Division skills →