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Prime Numbers Exploration Worksheet

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Prime Numbers Exploration Worksheet worksheet preview

Prime Numbers Exploration Worksheet

Prime numbers illustration

🔍 Part 1: Identifying Prime Numbers

Remember: A prime number has exactly two factors — 1 and itself. The number 1 is not a prime number.

1. Circle all the prime numbers in the list below.

2

9

13

21

29

35

41

47

2. List ALL the prime numbers between 1 and 50 in order.
3. Which of the following is a prime number?

27

33

37

49

4. True or False? Circle your answer.

a) The number 1 is a prime number.     True     False

b) All even numbers are NOT prime.     True     False

c) 43 is a prime number.     True     False

✏️ Part 2: Prime Factors

Remember: Prime factors are the prime numbers that multiply together to make a number. For example: 12 = 2 × 2 × 3

5. Write the prime factors of each number. Show your working out.

a) 18 = _________________________________________

b) 30 = _________________________________________

c) 45 = _________________________________________

6. Fill in the missing prime factor.

a) 28 = 2 × 2 × ____

b) 42 = 2 × 3 × ____

c) 50 = 2 × 5 × ____

🧩 Part 3: Word Problems

7. Aroha has 47 stickers to share equally among her friends. She says it is impossible to share them equally without any leftovers (other than giving them all to 1 person). Is she correct? Explain why.
8. Tane is thinking of a prime number between 20 and 30. It is an odd number and its digits add up to 7. What is Tane's number?

Answer: ____

9. A school has 36 students going on a trip. The teacher wants to split them into equal groups using only a prime number of groups. What prime numbers of groups are possible? Show your working.

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