Free Grade 3 Working with Multiples Lesson Plans
Free Grade 3 lesson plans for Working with Multiples: 12 real questions with a full answer key and worked solutions. Factors divide a number exactly; multiples are in its times table. The HCF is the biggest shared factor, the LCM the smallest shared multiple.
Free
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with multiples
Identify working with multiples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with multiples
Explain working with multiples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with multiples
Calculate working with multiples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with multiples
Compare working with multiples accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Multiples works
Factors divide a number exactly; multiples are in its times table. The HCF is the biggest shared factor, the LCM the smallest shared multiple.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.List all the factors of 28.[1]
- 2.List all the factors of 18.[1]
- 3.List all the factors of 12.[1]
- 4.List all the factors of 30.[1]
- 5.Find the highest common factor (HCF) of 12 and 24.[2]
- 6.Find the highest common factor (HCF) of 20 and 30.[2]
- 7.Find the highest common factor (HCF) of 15 and 18.[2]
- 8.Find the highest common factor (HCF) of 14 and 4.[2]
- 9.Find the lowest common multiple (LCM) of 25 and 35.[3]
- 10.Find the lowest common multiple (LCM) of 25 and 15.[3]
- 11.Find the lowest common multiple (LCM) of 12 and 15.[3]
- 12.Find the lowest common multiple (LCM) of 24 and 32.[3]
Show answers and working
1. 1, 2, 4, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
2. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
3. 1, 2, 3, 4, 6, 12
Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4
4. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
5. 12
List factors of 12 and 24. The largest factor they share is 12.
6. 10
List factors of 20 and 30. The largest factor they share is 10.
7. 3
List factors of 15 and 18. The largest factor they share is 3.
8. 2
List factors of 14 and 4. The largest factor they share is 2.
9. 175
HCF(25, 35) = 5. LCM = 25 × 35 ÷ 5 = 175.
10. 75
HCF(25, 15) = 5. LCM = 25 × 15 ÷ 5 = 75.
11. 60
HCF(12, 15) = 3. LCM = 12 × 15 ÷ 3 = 60.
12. 96
HCF(24, 32) = 8. LCM = 24 × 32 ÷ 8 = 96.
Worked examples
List all the factors of 24.
- Find factor pairs that multiply to 24.
- 1 × 24
- 2 × 12
- 3 × 8
- 4 × 6
- Answer: 1, 2, 3, 4, 6, 8, 12, 24
Find the highest common factor (HCF) of 6 and 14.
- List factors of 6 and 14.
- The largest factor they share is 2.
- Answer: 2
Find the lowest common multiple (LCM) of 6 and 10.
- HCF(6, 10) = 2.
- LCM = 6 × 10 ÷ 2 = 30.
- Answer: 30
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Mixes up factors and multiples.
Correction: Factors are Few (they fit inside), multiples are Many (they go on forever).
Misses factor pairs.
Correction: Work through 1, 2, 3… in order until the pairs meet.
Teacher tips
- · Use factor rainbows to show pairs.
Parent tips
- · Ask how many ways 24 sweets can be put into equal bags.
Real-life applications
- · Arranging chairs in equal rows, syncing bus timetables (LCM).
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Multiples
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Frequently asked
- Is this Grade 3 Working with Multiples lesson plan really free?
- Yes. Every lesson plans 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 Introducing Multiples, Factors. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Working with Multiples?
- Move on to Multiples in Context, Factors, Prime Numbers, Prime Factorisation, which build directly on this idea.
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