Learning Map
MathematicsMultiplication & Divisionusually ages 9–11

Factors, multiples, and primes

Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems

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 list all the factor pairs for a number like 36 — (1, 36), (2, 18), (3, 12), (4, 9), (6, 6) — and find factors that two numbers share?

Where this sits on the map

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

Builds on
All times tables to 12×12ages 8–9Tables to 12×12 fluency is prerequisite to finding factor pairs up to 100
Factor Pairs & Commutativityages 8–9Recognising factor pairs at Y4 is prerequisite to systematically finding all factor pairs
Factors, multiples, and primesthis skill · ages 9–11
Unlocks
Factors, multiples, and primes (age 9+)ages 9–10Factor/multiple knowledge is prerequisite to solving problems with them
Prime numbersages 9–10Must find factor pairs before reasoning about which numbers have exactly 2 factors (primes)
Simplifying Fractionsages 10–11Using common factors/multiples requires knowledge of common factors and multiples
Factors, multiples, and primes (age 11+)ages 11–12HCF/LCM/prime factorisation extends Y5-6 factor pairs and common factors/multiples
Ratio Notationages 11–12Simplifying ratios requires finding common factors — extends KS2 factor pairs and common factors
Fractions, Decimals & Percentagesages 9–10Factor pairs as structural tool for simplifying multiplication

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

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
VC2M4N02low confidenceMathematics · Level 4 · 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

Arrays for multiplication (age 9+)ages 9–10 Division with remaindersages 9–10 Factors, multiples, and primes (age 9+)ages 9–10 Long multiplicationages 9–10

All Multiplication & Division skills →