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Free Grade 3 Introducing Prime Factorisation Worked Examples

Free Grade 3 worked examples for Introducing Prime Factorisation. Fully worked examples with every step shown. Introducing Prime Factorisation is a chapter within Prime Factorisation: a coherent run of lessons that can be taught in one go.

Price

Free

Difficulty

Core

Estimated time

25 min

Total marks

25

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify introducing prime factorisation

    Identify introducing prime factorisation accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • RememberIdentify introducing prime factorisation

    Identify introducing prime factorisation independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • UnderstandExplain introducing prime factorisation

    Explain introducing prime factorisation accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing prime factorisation

    Explain introducing prime factorisation independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • EvaluateExplain introducing prime factorisation

    Explain the reasoning behind introducing prime factorisation using correct vocabulary.

    Assessed by: Extended written response, levelled

  • ApplyCalculate introducing prime factorisation

    Calculate introducing prime factorisation accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing prime factorisation

    Calculate introducing prime factorisation independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • AnalyseCompare introducing prime factorisation

    Compare introducing prime factorisation accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing prime factorisation

    Compare introducing prime factorisation independently in an unfamiliar context.

    Assessed by: Marked worksheet with a marking scheme

  • EvaluateCompare introducing prime factorisation

    Explain the reasoning behind introducing prime factorisation using correct vocabulary.

    Assessed by: Extended written response, levelled

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

Core explanation

Chapter definition used across every free resource for this entity.

Introducing Prime Factorisation is a chapter within Prime Factorisation: a coherent run of lessons that can be taught in one go.

This worked examples sequences the idea from recognition through understanding and application to reasoning and mastery, so a learner can start anywhere on the ladder.

Worked examples

Worked example 1

Apply Introducing Prime Factorisation in a routine context.

  1. Read the problem and name what Introducing Prime Factorisation is being used for.
  2. Set out the method exactly as modelled in the lesson.
  3. Complete the calculation or reasoning step by step.
  4. Check the answer against an estimate or the original condition.
Worked example 2

Apply Introducing Prime Factorisation in a multi-step context.

  1. Read the problem and name what Introducing Prime Factorisation is being used for.
  2. Set out the method exactly as modelled in the lesson.
  3. Complete the calculation or reasoning step by step.
  4. Check the answer against an estimate or the original condition.
Worked example 3

Apply Introducing Prime Factorisation in a unfamiliar context.

  1. Read the problem and name what Introducing Prime Factorisation is being used for.
  2. Set out the method exactly as modelled in the lesson.
  3. Complete the calculation or reasoning step by step.
  4. Check the answer against an estimate or the original condition.

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

The misconceptions stored on this entity, with the correction to give.

  • Confident students rush introducing prime factorisation and skip the checking step.

    Correction: Build in an estimate-before-solve routine so an unreasonable answer stands out.

  • Learners over-generalise a special case of introducing prime factorisation to every situation.

    Correction: Present a deliberate non-example and ask why the rule fails.

Teacher tips

  • · Model Introducing Prime Factorisation once in full before releasing any independent practice.
  • · Use the misconception list below as your live marking checklist.
  • · Exit ticket: three items, one from each difficulty band.

Parent tips

  • · Ask your child to explain Introducing Prime Factorisation back to you in their own words.
  • · Two short sessions beat one long one — ten minutes is plenty.
  • · If they stall, drop to the prerequisite below rather than repeating the same question.

Real-life applications

  • · Introducing Prime Factorisation in everyday measurement, money and time.
  • · Introducing Prime Factorisation inside later chapter work in math.
  • · Introducing Prime Factorisation in exam questions that hide the method inside a story.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

CAMBRIDGE CAM-788.1 — Mapped statement covering Introducing Prime Factorisation.NATIONAL-CURRICULUM NAT-408.2 — Mapped statement covering Introducing Prime Factorisation.

Every free resource for Introducing Prime Factorisation

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Goes deeper

The entities below this one, each with the same complete free resource set.

Sibling concepts

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Frequently asked

Is this Grade 3 Introducing Prime Factorisation worked examples really free?
Yes. Every worked examples on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Prime Numbers. Each one has its own free lesson, worksheet and quiz.
How is the worked examples sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Introducing Prime Factorisation?
Move on to Working with Prime Factorisation, Prime Factorisation in Context, Factors, Multiples, which build directly on this idea.

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