Free Grade 3 Working with Multiples Common Errors Lessons
Free Grade 3 lessons for Working with Multiples Common Errors: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with multiples common errors
Explain working with multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with multiples common errors
Calculate working with multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with multiples common errors
Compare working with multiples common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with multiples common errors
Justify working with multiples common errors 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 Common Errors 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 20.[1]
- 2.List all the factors of 24.[1]
- 3.List all the factors of 18.[1]
- 4.List all the factors of 40.[1]
- 5.Find the highest common factor (HCF) of 18 and 42.[2]
- 6.Find the highest common factor (HCF) of 18 and 45.[2]
- 7.Find the highest common factor (HCF) of 6 and 6.[2]
- 8.Find the highest common factor (HCF) of 21 and 9.[2]
- 9.Find the highest common factor (HCF) of 42 and 42.[3]
- 10.Find the lowest common multiple (LCM) of 6 and 4.[3]
- 11.Find the lowest common multiple (LCM) of 35 and 20.[3]
- 12.Find the lowest common multiple (LCM) of 24 and 20.[3]
Show answers and working
1. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
2. 1, 2, 3, 4, 6, 8, 12, 24
Find factor pairs that multiply to 24. 1 × 24 2 × 12 3 × 8 4 × 6
3. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
4. 1, 2, 4, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
5. 6
List factors of 18 and 42. The largest factor they share is 6.
6. 9
List factors of 18 and 45. The largest factor they share is 9.
7. 6
List factors of 6 and 6. The largest factor they share is 6.
8. 3
List factors of 21 and 9. The largest factor they share is 3.
9. 42
List factors of 42 and 42. The largest factor they share is 42.
10. 12
HCF(6, 4) = 2. LCM = 6 × 4 ÷ 2 = 12.
11. 140
HCF(35, 20) = 5. LCM = 35 × 20 ÷ 5 = 140.
12. 120
HCF(24, 20) = 4. LCM = 24 × 20 ÷ 4 = 120.
Worked examples
List all the factors of 28.
- Find factor pairs that multiply to 28.
- 1 × 28
- 2 × 14
- 4 × 7
- Answer: 1, 2, 4, 7, 14, 28
Find the highest common factor (HCF) of 14 and 21.
- List factors of 14 and 21.
- The largest factor they share is 7.
- Answer: 7
Find the lowest common multiple (LCM) of 12 and 9.
- HCF(12, 9) = 3.
- LCM = 12 × 9 ÷ 3 = 36.
- Answer: 36
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.
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Frequently asked
- Is this Grade 3 Working with Multiples Common Errors lesson really free?
- Yes. Every lessons 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 Working with Multiples Word Problems, Working with Multiples Techniques, Introducing Multiples. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Common Errors?
- Move on to Introducing Multiples, Multiples in Context, which build directly on this idea.
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