Prime and Composite Numbers Worksheet with Penguin Theme

Sure! Let’s solve the worksheet step by step.

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🧠 Definitions to Remember:

- Factor: A number that divides another number evenly (with no remainder).
- Prime Number: A number greater than 1 that has exactly two factors — 1 and itself.
- Composite Number: A number greater than 1 that 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
→ More than two factors → Composite

✔ Answer:
Factors: 1, 2, 4, 8
Prime or Composite? Composite

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2) 25

Factors: 1, 5, 25
→ More than two factors → Composite

✔ Answer:
Factors: 1, 5, 25
Prime or Composite? Composite

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3) 21

Factors: 1, 3, 7, 21
→ More than two factors → Composite

✔ Answer:
Factors: 1, 3, 7, 21
Prime or Composite? Composite

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4) 30

Factors: 1, 2, 3, 5, 6, 10, 15, 30
→ Many factors → Composite

✔ Answer:
Factors: 1, 2, 3, 5, 6, 10, 15, 30
Prime or Composite? Composite

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5) 5

Factors: 1, 5
→ Exactly two factors → Prime

✔ Answer:
Factors: 1, 5
Prime or Composite? Prime

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6) 48

Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
→ Many factors → Composite

✔ Answer:
Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Prime or Composite? Composite

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7) 19

Factors: 1, 19
→ Exactly two factors → Prime

✔ Answer:
Factors: 1, 19
Prime or Composite? Prime

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8) 12

Factors: 1, 2, 3, 4, 6, 12
→ More than two factors → Composite

✔ Answer:
Factors: 1, 2, 3, 4, 6, 12
Prime or Composite? Composite

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## ✔ Final Answers Summary:

| 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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You can now fill in the worksheet with these answers. Great job practicing prime and composite numbers! ❄️🐧