Let’s work through this step by step.
We are given a table with numbers, and we need to:
1. List all the factors of each number.
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.
- The number 1 is neither prime nor composite (but it’s not in our list).
Also, the first row is already done as an example:
→ 25 → factors: 1, 5, 25 → Composite (because it has more than two factors)
Now let’s go one by one:
---
36
Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
→ More than two factors → Composite
---
43
Check if divisible by any number from 2 up to √43 (~6.5) → try 2, 3, 5
- Not divisible by 2 (odd)
- 4+3=7 → not divisible by 3
- Doesn’t end in 0 or 5 → not divisible by 5
→ Only factors: 1 and 43 → Prime
---
47
Check divisibility up to √47 (~6.8) → try 2, 3, 5
- Odd → not divisible by 2
- 4+7=11 → not divisible by 3
- Doesn’t end in 0 or 5 → not divisible by 5
→ Only factors: 1 and 47 → Prime
---
51
Check: 5+1=6 → divisible by 3 → 51 ÷ 3 = 17
So factors: 1, 3, 17, 51 → Composite
---
55
Ends in 5 → divisible by 5 → 55 ÷ 5 = 11
Factors: 1, 5, 11, 55 → Composite
---
59
Check divisibility up to √59 (~7.7) → try 2, 3, 5, 7
- Odd → not 2
- 5+9=14 → not divisible by 3
- Doesn’t end in 0/5 → not 5
- 59 ÷ 7 ≈ 8.4 → not whole → not divisible by 7
→ Only factors: 1 and 59 → Prime
---
60
Even → divisible by 2 → many factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 → Composite
---
61
Check up to √61 (~7.8) → try 2, 3, 5, 7
- Odd → not 2
- 6+1=7 → not divisible by 3
- Doesn’t end in 0/5 → not 5
- 61 ÷ 7 ≈ 8.7 → not whole → not divisible by 7
→ Only factors: 1 and 61 → Prime
---
Final Answer:
| Number | Factors | Prime or Composite |
|--------|--------------------------|--------------------|
| 25 | 1, 5, 25 | Composite |
| 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | Composite |
| 43 | 1, 43 | Prime |
| 47 | 1, 47 | Prime |
| 51 | 1, 3, 17, 51 | Composite |
| 55 | 1, 5, 11, 55 | Composite |
| 59 | 1, 59 | Prime |
| 60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 | Composite |
| 61 | 1, 61 | Prime |
Parent Tip: Review the logic above to help your child master the concept of prime composite numbers worksheet.
