Winter-themed math worksheet for identifying prime and composite numbers.

Let's solve this step by step. The task is to:

1. List all the factors of each number.
2. Determine if the number is prime or composite.

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🔹 Definitions:

- A prime number has exactly two factors: 1 and itself.
- A composite number has more than two factors.

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Now, let’s go through each number:

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1) 8

- Factors: 1, 2, 4, 8
(Because: 1×8=8, 2×4=8)
- Number of factors: 4 → more than 2
- ✔ Composite

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2) 25

- Factors: 1, 5, 25
(Because: 1×25=25, 5×5=25)
- Number of factors: 3 → more than 2
- ✔ Composite

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3) 21

- Factors: 1, 3, 7, 21
(Because: 1×21=21, 3×7=21)
- Number of factors: 4 → more than 2
- ✔ Composite

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4) 30

- Factors: 1, 2, 3, 5, 6, 10, 15, 30
(Because: 1×30, 2×15, 3×10, 5×6)
- Number of factors: 8 → more than 2
- ✔ Composite

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5) 5

- Factors: 1, 5
(Only divisible by 1 and itself)
- Number of factors: 2 → exactly two
- ✔ Prime

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6) 48

- Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
(Check pairs: 1×48, 2×24, 3×16, 4×12, 6×8)
- Number of factors: 10 → more than 2
- ✔ Composite

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7) 19

- Factors: 1, 19
(No other numbers divide evenly into 19)
- Number of factors: 2 → exactly two
- ✔ Prime

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8) 12

- Factors: 1, 2, 3, 4, 6, 12
(1×12, 2×6, 3×4)
- Number of factors: 6 → more than 2
- ✔ Composite

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✔ Final Answers:

| Number | Factors | Prime or Composite? |
|--------|-------------------------------------|----------------------|
| 1) 8 | 1, 2, 4, 8 | Composite |
| 2) 25 | 1, 5, 25 | Composite |
| 3) 21 | 1, 3, 7, 21 | Composite |
| 4) 30 | 1, 2, 3, 5, 6, 10, 15, 30 | Composite |
| 5) 5 | 1, 5 | Prime |
| 6) 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | Composite |
| 7) 19 | 1, 19 | Prime |
| 8) 12 | 1, 2, 3, 4, 6, 12 | Composite |

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Let me know if you'd like this formatted as a printable answer sheet! 🐧❄️