Let’s work through the table step by step.
We need to find:
1. All factors of each number (in ascending order — that means from smallest to biggest).
2. Decide if the number is
Prime or
Composite.
Remember:
- A
prime number has exactly two factors: 1 and itself.
- A
composite number has more than two factors.
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✔ First, let’s do number
8:
Factors of 8:
Start with 1 → 8 ÷ 1 = 8 → so 1 and 8 are factors.
Next, 2 → 8 ÷ 2 = 4 → so 2 and 4 are factors.
3? 8 ÷ 3 is not whole → skip.
So factors:
1, 2, 4, 8 → four factors → Composite.
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✔ Number
13:
Check divisibility:
1 → yes → 1 and 13
2? 13 ÷ 2 = 6.5 → no
3? 13 ÷ 3 ≈ 4.33 → no
4? too big already (since 4×4=16 >13)
So only factors:
1, 13 → two factors → Prime.
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✔ Number
22:
1 → 22 → yes
2 → 22 ÷ 2 = 11 → yes
3? 22 ÷ 3 ≈ 7.33 → no
4? 22 ÷ 4 = 5.5 → no
5? too big (5×5=25>22)
So factors:
1, 2, 11, 22 → four factors → Composite.
---
✔ Number
24:
1 → 24
2 → 12
3 → 8
4 → 6
5? 24÷5=4.8 → no
6 we already have
So list all:
1, 2, 3, 4, 6, 8, 12, 24 → eight factors → Composite.
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✔ Number
29:
Check:
1 → 29 → yes
2? 29÷2=14.5 → no
3? 29÷3≈9.66 → no
4? no
5? no
6? 6×5=30>29 → stop
Only factors:
1, 29 → two factors → Prime.
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✔ Number
40:
1 → 40
2 → 20
4 → 10
5 → 8
Also check 3? 40÷3≈13.33 → no
6? 40÷6≈6.66 → no
7? no
8 → already have as pair of 5
So factors:
1, 2, 4, 5, 8, 10, 20, 40 → eight factors → Composite.
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Now, the last two questions:
🔹 The smallest prime number is
2
(Because 1 is NOT prime — it only has one factor. 2 is the first number with exactly two factors: 1 and 2.)
🔹 The smallest composite number is
4
(Why not 1? Not composite. Why not 2 or 3? They’re prime. 4 has factors 1, 2, 4 → three factors → composite.)
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Final Answer:
| Number | Factors (ascending order) | Prime or Composite |
|--------|-------------------------------|--------------------|
| 15 | 1, 3, 5, 15 | Composite |
| 8 | 1, 2, 4, 8 | Composite |
| 13 | 1, 13 | Prime |
| 22 | 1, 2, 11, 22 | Composite |
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 | Composite |
| 29 | 1, 29 | Prime |
| 40 | 1, 2, 4, 5, 8, 10, 20, 40 | Composite |
The smallest prime number is 2
The smallest composite number is 4
Parent Tip: Review the logic above to help your child master the concept of worksheet prime and composite numbers.
