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Prime Numbers Exploration Worksheet
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Prime Numbers Exploration Worksheet
🔢 Part 1: Identifying Prime Numbers
1. Circle all the prime numbers from this list: 7, 9, 11, 15, 17, 21, 23
2. Which of these numbers is NOT prime?
13
19
21
29
3. Explain why 1 is not considered a prime number:
4. Find all prime numbers between 30 and 50:
5. Is 51 a prime number? Show your working and explain your answer:
🧮 Part 2: Prime Factorisation
6. Find the prime factorisation of 60:
7. Express 84 as a product of prime factors:
8. What is the prime factorisation of 100?
2² × 5²
2⁴ × 5²
2² × 5³
2³ × 5²
9. A number has the prime factorisation 2³ × 3² × 5. What is the number?
🔐 Part 3: Real-World Applications
10. Encryption Challenge: A simple encryption code uses two prime numbers, p = 7 and q = 11. Calculate n = p × q, which forms part of the encryption key:
11. Security Puzzle: Explain why large prime numbers are important for internet security and online banking:
12. Critical Thinking: If you were designing a security system and needed to choose between using the number 97 or 99 as part of your code, which would you choose and why?
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