Free Grade 3 Introducing Prime Numbers Word Problems Lessons
Free Grade 3 lessons for Introducing Prime Numbers Word Problems: 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing prime numbers word problems
Identify introducing prime numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing prime numbers word problems
Explain introducing prime numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing prime numbers word problems
Calculate introducing prime numbers word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing prime numbers word problems
Compare introducing prime numbers word problems 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 Introducing Prime Numbers Word Problems 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 18.[1]
- 3.List all the factors of 30.[1]
- 4.List all the factors of 36.[1]
- 5.Find the highest common factor (HCF) of 42 and 24.[2]
- 6.Find the highest common factor (HCF) of 4 and 14.[2]
- 7.Find the highest common factor (HCF) of 21 and 21.[2]
- 8.Find the highest common factor (HCF) of 14 and 42.[2]
- 9.Find the lowest common multiple (LCM) of 30 and 25.[3]
- 10.Find the highest common factor (HCF) of 14 and 14.[3]
- 11.Find the lowest common multiple (LCM) of 42 and 35.[3]
- 12.Find the lowest common multiple (LCM) of 42 and 49.[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, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
3. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
4. 1, 2, 3, 4, 6, 9, 12, 18, 36
Find factor pairs that multiply to 36. 1 × 36 2 × 18 3 × 12 4 × 9 6 × 6
5. 6
List factors of 42 and 24. The largest factor they share is 6.
6. 2
List factors of 4 and 14. The largest factor they share is 2.
7. 21
List factors of 21 and 21. The largest factor they share is 21.
8. 14
List factors of 14 and 42. The largest factor they share is 14.
9. 150
HCF(30, 25) = 5. LCM = 30 × 25 ÷ 5 = 150.
10. 14
List factors of 14 and 14. The largest factor they share is 14.
11. 210
HCF(42, 35) = 7. LCM = 42 × 35 ÷ 7 = 210.
12. 294
HCF(42, 49) = 7. LCM = 42 × 49 ÷ 7 = 294.
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 6.
- List factors of 14 and 6.
- The largest factor they share is 2.
- Answer: 2
Find the lowest common multiple (LCM) of 16 and 20.
- HCF(16, 20) = 4.
- LCM = 16 × 20 ÷ 4 = 80.
- Answer: 80
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 Introducing Prime Numbers Word Problems 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 Introducing Prime Numbers Techniques, Introducing Prime Numbers Essentials, 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 Introducing Prime Numbers Word Problems?
- Move on to Introducing Prime Numbers Common Errors, Working with Prime Numbers, Prime Numbers in Context, which build directly on this idea.
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