Prime and Composite Numbers Worksheet for Math Practice

I will solve this "Prime Composite Worksheet" by identifying whether each number listed is a prime or composite number.

Step 1: Understand the definitions

- A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- A composite number is a natural number greater than 1 that has more than two positive divisors (i.e., it can be divided evenly by numbers other than 1 and itself).

Step 2: Analyze each number

I will go through each number one by one:

1. 15: Divisible by 1, 3, 5, 15 → Composite
2. 77: Divisible by 1, 7, 11, 77 → Composite
3. 39: Divisible by 1, 3, 13, 39 → Composite
4. 86: Divisible by 1, 2, 43, 86 → Composite
5. 10: Divisible by 1, 2, 5, 10 → Composite
6. 48: Divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 → Composite
7. 12: Divisible by 1, 2, 3, 4, 6, 12 → Composite
8. 18: Divisible by 1, 2, 3, 6, 9, 18 → Composite
9. 73: Only divisible by 1 and 73 → Prime
10. 62: Divisible by 1, 2, 31, 62 → Composite
11. 33: Divisible by 1, 3, 11, 33 → Composite
12. 31: Only divisible by 1 and 31 → Prime
13. 89: Only divisible by 1 and 89 → Prime
14. 40: Divisible by 1, 2, 4, 5, 8, 10, 20, 40 → Composite
15. 20: Divisible by 1, 2, 4, 5, 10, 20 → Composite

Step 3: Final Answer

Here is the completed worksheet with the correct classification for each number:

- 15 → Composite
- 77 → Composite
- 39 → Composite
- 86 → Composite
- 10 → Composite
- 48 → Composite
- 12 → Composite
- 18 → Composite
- 73 → Prime
- 62 → Composite
- 33 → Composite
- 31 → Prime
- 89 → Prime
- 40 → Composite
- 20 → Composite

This completes the task. All numbers have been correctly classified as either prime or composite based on their divisors.