Winter-themed prime and composite numbers worksheet with penguin and snowflake design.

Let’s go step by step for each number. We’ll find all the factors (numbers that divide evenly into it), then decide if it’s prime or composite.

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

---

1) 8

Factors of 8:
1 × 8 = 8
2 × 4 = 8
→ Factors: 1, 2, 4, 8 → More than 2 → Composite

---

2) 25

Factors of 25:
1 × 25 = 25
5 × 5 = 25
→ Factors: 1, 5, 25 → More than 2 → Composite

---

3) 21

Factors of 21:
1 × 21 = 21
3 × 7 = 21
→ Factors: 1, 3, 7, 21 → More than 2 → Composite

---

4) 30

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

---

5) 5

Factors of 5:
1 × 5 = 5
No other whole numbers multiply to make 5.
→ Factors: 1, 5 → Only two → Prime

---

6) 48

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

---

7) 19

Check divisibility:
Not divisible by 2, 3, 4, 5... up to √19 (~4.3). Try dividing by 2, 3 — none work.
Only 1 × 19 = 19
→ Factors: 1, 19 → Only two → Prime

---

8) 12

Factors of 12:
1 × 12
2 × 6
3 × 4
→ Factors: 1, 2, 3, 4, 6, 12 → More than 2 → Composite

---

Final Answer:

1) 8 → Factors: 1, 2, 4, 8 → Composite
2) 25 → Factors: 1, 5, 25 → Composite
3) 21 → Factors: 1, 3, 7, 21 → Composite
4) 30 → Factors: 1, 2, 3, 5, 6, 10, 15, 30 → Composite
5) 5 → Factors: 1, 5 → Prime
6) 48 → Factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 → Composite
7) 19 → Factors: 1, 19 → Prime
8) 12 → Factors: 1, 2, 3, 4, 6, 12 → Composite