Free Grade 3 Rules and Methods in Introducing Factorising Common Errors Worksheets
Free Grade 3 worksheets for Rules and Methods in 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
Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain rules and methods in introducing factorising common errors
Explain rules and methods in introducing factorising common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing factorising common errors
Calculate rules and methods in introducing factorising common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing factorising common errors
Compare rules and methods in introducing factorising common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing factorising common errors
Justify rules and methods in 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 Rules and Methods in 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 24.[1]
- 2.List all the factors of 30.[1]
- 3.List all the factors of 28.[1]
- 4.List all the factors of 40.[1]
- 5.Find the highest common factor (HCF) of 42 and 42.[2]
- 6.Find the highest common factor (HCF) of 16 and 16.[2]
- 7.Find the highest common factor (HCF) of 4 and 12.[2]
- 8.Find the highest common factor (HCF) of 15 and 25.[2]
- 9.Find the lowest common multiple (LCM) of 36 and 12.[3]
- 10.Find the lowest common multiple (LCM) of 35 and 21.[3]
- 11.Find the lowest common multiple (LCM) of 45 and 36.[3]
- 12.Find the lowest common multiple (LCM) of 56 and 24.[3]
Show answers and working
1. 1, 2, 3, 4, 6, 8, 12, 24
Find factor pairs that multiply to 24. 1 × 24 2 × 12 3 × 8 4 × 6
2. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
3. 1, 2, 4, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
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. 42
List factors of 42 and 42. The largest factor they share is 42.
6. 16
List factors of 16 and 16. The largest factor they share is 16.
7. 4
List factors of 4 and 12. The largest factor they share is 4.
8. 5
List factors of 15 and 25. The largest factor they share is 5.
9. 36
HCF(36, 12) = 12. LCM = 36 × 12 ÷ 12 = 36.
10. 105
HCF(35, 21) = 7. LCM = 35 × 21 ÷ 7 = 105.
11. 180
HCF(45, 36) = 9. LCM = 45 × 36 ÷ 9 = 180.
12. 168
HCF(56, 24) = 8. LCM = 56 × 24 ÷ 8 = 168.
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 12 and 12.
- List factors of 12 and 12.
- The largest factor they share is 12.
- Answer: 12
Find the lowest common multiple (LCM) of 14 and 12.
- HCF(14, 12) = 2.
- LCM = 14 × 12 ÷ 2 = 84.
- Answer: 84
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 Rules and Methods in Introducing Factorising Common Errors worksheet really free?
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- What should a learner already know before this?
- Start with Key Vocabulary of Introducing Factorising Common Errors, Introduction to Introducing Factorising Common Errors, Introducing Factorising Word Problems. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Rules and Methods in Introducing Factorising Common Errors?
- Move on to Working with Introducing Factorising Common Errors, Introducing Factorising Common Errors in Examinations, Introducing Factorising Essentials, Introducing Factorising Techniques, which build directly on this idea.
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