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Prime Numbers Exploration

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Prime Numbers Exploration worksheet preview
Prime Numbers Exploration

Prime Numbers Exploration

Prime numbers illustration

🔢 Part 1: Understanding Prime Numbers

1. What is a prime number? Write your definition in your own words:
2. Circle the correct answer: A prime number has exactly how many factors?

1 factor

2 factors

3 factors

More than 3 factors

3. Fill in the blanks:

The smallest prime number is ______. The only even prime number is ______.

A composite number has _______ than two factors.

🎯 Part 2: Prime or Composite?

4. Look at each number below. Tick the box if it is a PRIME number:

7

12

17

21

23

25

29

30

5. Choose one composite number from question 4 and list ALL its factors:

Number chosen: _______

All factors: ________________________________

6. Circle the correct answer: Which number is NOT prime?

31

37

39

41

🌳 Part 3: Factor Trees

7. Complete the factor tree for 24:
8. Complete the factor tree for 36:
9. Write the prime factorisation using multiplication:

24 = _____ × _____ × _____ × _____

36 = _____ × _____ × _____ × _____

10. Create your own factor tree for the number 45:

🧠 Part 4: Problem Solving

11. Match each number with its correct description:
1. Number 1
2. Number 2
3. Number 4
4. Number 13
A. The only even prime number
B. Neither prime nor composite
C. A prime number greater than 10
D. The smallest composite number
12. Sarah says "All odd numbers are prime numbers." Is she correct? Explain your answer with examples:
13. Find all the prime numbers between 50 and 60. Show your working:
14. Challenge: Using the Sieve of Eratosthenes method, cross out all composite numbers from 2 to 30 in the grid below. Circle the prime numbers that remain.

2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

✨ Part 5: Reflection

15. What strategy do you find most helpful for determining if a number is prime? Explain why:
16. Rate your understanding of prime numbers today:

I need more help

I understand the basics

I feel confident

I can teach someone else

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