Factors and Multiples
Factors and Multiples is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Strand
Depth 2 in the graph
math/number-sense/factors-and-multiples
13,416
72 topics · 2,160 concepts · 10,800 micro-concepts
Units
Every unit below is a full entity with its own skills, objectives, misconceptions and resource set.
Factors
Factors is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
Multiples
Multiples is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
Prime Numbers
Prime Numbers is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
Prime Factorisation
Prime Factorisation is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
HCF
HCF is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
LCM
LCM is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Explain factors and multiples
UnderstandExplain factors and multiples accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Explain factors and multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind factors and multiples using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate factors and multiples
ApplyCalculate factors and multiples accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Calculate factors and multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare factors and multiples
AnalyseCompare factors and multiples accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Compare factors and multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind factors and multiples using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Justify factors and multiples
EvaluateJustify factors and multiples accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Justify factors and multiples independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Semantic relationships
Prerequisite and related edges are what make this a graph rather than a menu.
- ProportionStrand
- RatioStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Learners apply the correct method to factors and multiples but ignore the context or units.
Correction — Require an answer sentence with units on every applied question.
Confident students rush factors and multiples and skip the checking step.
Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
EDE-221.1
Mapped statement covering Factors and Multiples.
CBS-828.2
Mapped statement covering Factors and Multiples.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Powers and Roots
Powers and Roots is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Algebra
Algebra is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Geometry
Geometry is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Measurement
Measurement is a major domain within Math, grouping the strands that share the same underlying ideas and methods.
Difficulty ladder
The same entity, six levels of demand — easy through to olympiad and exam level.
Scaffolded first attempt with worked support.
Standard curriculum demand, unscaffolded.
Multi-step questions and unfamiliar contexts.
Stretch tasks that need reasoning, not recall.
Competition-style problems built on the same idea.
Board-styled questions with mark schemes.
Learning intent
Not every visitor wants the same thing. Each intent routes to the resource that actually does that job.
Audience views
Factors and Multiples in Grade 3, surfaced differently for each reader.
AI Tutor context chain
Open the tutor from here and it already knows where you are — this is the sequence it recommends.
- 01Prerequisite lessonproportion
- 02Video explanationFactors and Multiples modelled end to end
- 03Interactive practiceAnswer on screen with instant checking
- 04QuizTen graded items with hints
- 05FlashcardsRetrieval on a 14-day schedule
- 06Common mistakesThe misconceptions stored on this node
- 07Harder worksheetSame concept, exam-level demand
- 08Past paper questionsBoard questions on this concept
- 09Mock testTimed, marked, with feedback
- 10Book a tutorOne-to-one on exactly this gap
Free Factors and Multiples resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free Factors and Multiples lessons
- Free Factors and Multiples lesson plans
- Free Factors and Multiples explanations
- Free Factors and Multiples worked examples
- Free Factors and Multiples real life examples
- Free Factors and Multiples common mistakes
- Free Factors and Multiples video lessons
- Free Factors and Multiples worksheets
- Free Factors and Multiples printable worksheets
- Free Factors and Multiples interactive worksheets
- Free Factors and Multiples homework worksheets
- Free Factors and Multiples revision worksheets
- Free Factors and Multiples word problems
- Free Factors and Multiples practice tests
- Free Factors and Multiples flashcards
- Free Factors and Multiples study notes
- Free Factors and Multiples revision notes
- Free Factors and Multiples cheat sheets
- Free Factors and Multiples formula sheets
- Free Factors and Multiples mind maps
- Free Factors and Multiples vocabulary lists
- Free Factors and Multiples quizzes
- Free Factors and Multiples timed quizzes
- Free Factors and Multiples adaptive quizzes
- Free Factors and Multiples mcqs
- Free Factors and Multiples true or false questions
- Free Factors and Multiples fill in the blanks
- Free Factors and Multiples matching exercises
- Free Factors and Multiples short questions
- Free Factors and Multiples long questions
- Free Factors and Multiples question banks
- Free Factors and Multiples exam questions
- Free Factors and Multiples past paper questions
- Free Factors and Multiples solved past papers
- Free Factors and Multiples mock exams
- Free Factors and Multiples activities
- Free Factors and Multiples stem activities
- Free Factors and Multiples experiments
- Free Factors and Multiples games
- Free Factors and Multiples projects
- Free Factors and Multiples case studies
- Free Factors and Multiples homework
- Free Factors and Multiples assignments
- Free Factors and Multiples reading comprehension
- Free Factors and Multiples writing prompts
- Free Factors and Multiples spelling practice
- Free Factors and Multiples grammar practice
- Free Factors and Multiples teacher guides
- Free Factors and Multiples parent guides
- Free Factors and Multiples ai tutor sessions
- Free Factors and Multiples practice sessions
- Free Factors and Multiples progress trackers
- Free Factors and Multiples printables
Connected resources
30 resource types are generated for Factors and Multiples automatically — the graph never produces an entity without them.
Concept Explanation
The idea itself, explained from first principles.
Lesson
A taught sequence with modelling and checks for understanding.
Real Life Examples
Where the idea shows up outside school.
Common Mistakes
The misconceptions and how to correct them.
AI Tutor
Socratic one-to-one practice on this exact idea.
Quiz
Graded retrieval with hints and explanations.
Question Bank
Every question filtered to this entity.
MCQs
Multiple choice items with distractor analysis.
True or False
Fast misconception checks.
Fill in the Blanks
Cloze items for vocabulary and method.
Matching
Pair terms, models and definitions.
Short Questions
One to three mark responses.
Long Questions
Extended responses with method marks.
Exam Questions
Board-styled questions and command words.
Past Papers
Authentic papers filtered to this entity.
Solved Papers
Full worked solutions and examiner notes.
Frequently asked
- What sits underneath Factors and Multiples in the knowledge graph?
- 0 domains, 0 strands, 6 units, 18 chapters, 72 topics, 360 subtopics, 2,160 concepts and 10,800 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before Factors and Multiples?
- The graph lists Proportion, Ratio as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is Factors and Multiples taught in?
- Typically Grade 3, Grade 4, Grade 5, though every resource can be regenerated for any grade in the platform.
Related resources
Work through Factors and Multiples one-to-one with a tutor who can see exactly where the gap is.
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