Free Grade 3 Introduction to Introducing Factorising Common Errors Lessons
Free Grade 3 lessons for Introduction to Introducing Factorising 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to introducing factorising common errors
Explain introduction to introducing factorising common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing factorising common errors
Calculate introduction to introducing factorising common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing factorising common errors
Compare introduction to introducing factorising common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to introducing factorising common errors
Justify introduction to introducing factorising 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 Introduction to Introducing Factorising 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 18.[1]
- 2.List all the factors of 12.[1]
- 3.List all the factors of 40.[1]
- 4.List all the factors of 20.[1]
- 5.Find the highest common factor (HCF) of 15 and 15.[2]
- 6.Find the highest common factor (HCF) of 36 and 27.[2]
- 7.Find the highest common factor (HCF) of 14 and 21.[2]
- 8.Find the highest common factor (HCF) of 24 and 28.[2]
- 9.Find the lowest common multiple (LCM) of 56 and 48.[3]
- 10.Find the lowest common multiple (LCM) of 25 and 35.[3]
- 11.Find the lowest common multiple (LCM) of 10 and 4.[3]
- 12.Find the lowest common multiple (LCM) of 4 and 12.[3]
Show answers and working
1. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
2. 1, 2, 3, 4, 6, 12
Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4
3. 1, 2, 4, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
4. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
5. 15
List factors of 15 and 15. The largest factor they share is 15.
6. 9
List factors of 36 and 27. The largest factor they share is 9.
7. 7
List factors of 14 and 21. The largest factor they share is 7.
8. 4
List factors of 24 and 28. The largest factor they share is 4.
9. 336
HCF(56, 48) = 8. LCM = 56 × 48 ÷ 8 = 336.
10. 175
HCF(25, 35) = 5. LCM = 25 × 35 ÷ 5 = 175.
11. 20
HCF(10, 4) = 2. LCM = 10 × 4 ÷ 2 = 20.
12. 12
HCF(4, 12) = 4. LCM = 4 × 12 ÷ 4 = 12.
Worked examples
List all the factors of 36.
- Find factor pairs that multiply to 36.
- 1 × 36
- 2 × 18
- 3 × 12
- 4 × 9
- 6 × 6
- Answer: 1, 2, 3, 4, 6, 9, 12, 18, 36
Find the highest common factor (HCF) of 8 and 28.
- List factors of 8 and 28.
- The largest factor they share is 4.
- Answer: 4
Find the lowest common multiple (LCM) of 18 and 45.
- HCF(18, 45) = 9.
- LCM = 18 × 45 ÷ 9 = 90.
- Answer: 90
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
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- What should a learner already know before this?
- Start with Introducing Factorising Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Key Vocabulary of Introducing Factorising Common Errors, Rules and Methods in Introducing Factorising Common Errors, Working with Introducing Factorising Common Errors, Introducing Factorising Common Errors in Examinations, which build directly on this idea.
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