Grade 5 factoring worksheet focusing on identifying prime numbers between 2 and 50.

Let's solve the problem step by step.

Task:

Circle the prime numbers from the list of numbers given in the worksheet.

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What is a Prime Number?

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
For example:
- 2 is prime (divisible only by 1 and 2)
- 3 is prime
- 4 is not prime (divisible by 1, 2, 4)

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Given Numbers (arranged in grid):

```
18 27 23 8 7
33 39 37 22 16
3 6 9 5 11
30 41 36 25 29
17 32 38 13 47
30 38 28 16 40
5 25 35 45 15
16 4 2 12 18
```

We will go through each number and determine if it's prime.

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Step-by-step Analysis:

We’ll check each number:

1. 18 → divisible by 2, 3, 6, 9 → not prime
2. 27 → divisible by 3, 9 → not prime
3. 23 → only divisible by 1 and 23 → ✔ prime
4. 8 → divisible by 2, 4 → not prime
5. 7 → only divisible by 1 and 7 → ✔ prime
6. 33 → divisible by 3, 11 → not prime
7. 39 → divisible by 3, 13 → not prime
8. 37 → only divisible by 1 and 37 → ✔ prime
9. 22 → divisible by 2, 11 → not prime
10. 16 → divisible by 2, 4, 8 → not prime
11. 3 → only divisible by 1 and 3 → ✔ prime
12. 6 → divisible by 2, 3 → not prime
13. 9 → divisible by 3 → not prime
14. 5 → only divisible by 1 and 5 → ✔ prime
15. 11 → only divisible by 1 and 11 → ✔ prime
16. 30 → divisible by 2, 3, 5, 6, 10, 15 → not prime
17. 41 → only divisible by 1 and 41 → ✔ prime
18. 36 → divisible by 2, 3, 4, 6, 9, 12, 18 → not prime
19. 25 → divisible by 5 → not prime
20. 29 → only divisible by 1 and 29 → ✔ prime
21. 17 → only divisible by 1 and 17 → ✔ prime
22. 32 → divisible by 2, 4, 8, 16 → not prime
23. 38 → divisible by 2, 19 → not prime
24. 13 → only divisible by 1 and 13 → ✔ prime
25. 47 → only divisible by 1 and 47 → ✔ prime
26. 30 → already checked → not prime
27. 38 → already checked → not prime
28. 28 → divisible by 2, 4, 7, 14 → not prime
29. 16 → already checked → not prime
30. 40 → divisible by 2, 4, 5, 8, 10, 20 → not prime
31. 5 → already checked → ✔ prime
32. 25 → already checked → not prime
33. 35 → divisible by 5, 7 → not prime
34. 45 → divisible by 3, 5, 9, 15 → not prime
35. 15 → divisible by 3, 5 → not prime
36. 16 → already checked → not prime
37. 4 → divisible by 2 → not prime
38. 2 → only divisible by 1 and 2 → ✔ prime
39. 12 → divisible by 2, 3, 4, 6 → not prime
40. 18 → already checked → not prime

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List of Prime Numbers Identified:

From above, the prime numbers are:

- 23
- 7
- 37
- 3
- 5
- 11
- 41
- 29
- 17
- 13
- 47
- 5 (again)
- 2

Note: 5 appears twice, but we just need to circle all instances.

So the prime numbers to circle are:

✔ 23, 7, 37, 3, 5, 11, 41, 29, 17, 13, 47, 2

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✔ Final Answer:

Circle these numbers:
2, 3, 5, 7, 11, 13, 17, 23, 29, 37, 41, 47

(Note: 5 appears twice, so both instances should be circled.)

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📝 Summary:

Prime numbers between 2–50 include:
> 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

But in this list, the ones present are:
> 2, 3, 5, 7, 11, 13, 17, 23, 29, 37, 41, 47

(19, 31, 43 are not in the grid.)

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✔ So, circle:
2, 3, 5, 7, 11, 13, 17, 23, 29, 37, 41, 47
(from the grid — note that 5 appears twice, so both should be circled).

Let me know if you'd like a visual version!