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Prime Factors and Multiples
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Prime Factors and Multiples
🔢 Part 1: Prime Factorisation Matching
1. Match each number with its complete prime factorisation by drawing lines between them:
12
18
20
24
2² × 3²
2² × 5
2² × 3
2³ × 3
2. Circle the prime numbers in this list:
7 9 11 15 17 21 23 25
3. Which of these numbers are multiples of 6?
18
22
30
34
42
🏃♀️ Part 2: Real-Life Problem Solving
4. A school has 48 students going on a trip. The teacher wants to divide them into equal groups with no students left over. List all the possible group sizes:
5. Sarah is arranging 36 cupcakes on trays. Each tray must have the same number of cupcakes and she wants to use between 4 and 8 trays. How many cupcakes should go on each tray?
6 cupcakes per tray (6 trays)
9 cupcakes per tray (4 trays)
12 cupcakes per tray (3 trays)
Both A and B are correct
6. A rectangular garden has an area of 60 square metres. If both the length and width must be whole numbers, what are three possible dimensions for this garden?
🤔 Part 3: Explain Your Thinking
7. Jamie says "All even numbers are composite numbers." Is this statement true or false? Explain your reasoning:
8. Find the prime factorisation of 72. Show your working using a factor tree:
9. Explain why 1 is neither prime nor composite:
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