Some natural numbers are composite numbers. 

Choose ALL of the TRUE statements about composite numbers.

		
A composite number has exactly two divisors.

 		
A composite number has a finite number of divisors.

 		
A composite number is always odd.

 		
A composite number has 3 or more divisors.

 		
A composite number is always even.

 		
A composite number has an infinite number of divisors.


Let's break down each statement about composite numbers:

1. **"A composite number has exactly two divisors."**
   - **False.** A composite number has more than two divisors. A number with exactly two divisors is a **prime number**, not a composite number.

2. **"A composite number has a finite number of divisors."**
   - **True.** Any composite number has a finite number of divisors. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12 — this is a finite set.

3. **"A composite number is always odd."**
   - **False.** A composite number can be either odd or even. For example, 9 is an odd composite number, and 12 is an even composite number.

4. **"A composite number has 3 or more divisors."**
   - **True.** By definition, a composite number has more than two divisors. It must have at least 3 divisors: 1, the number itself, and at least one more divisor.

5. **"A composite number is always even."**
   - **False.** A composite number can be odd (e.g., 9, 15). Composite numbers are not restricted to being even.

6. **"A composite number has an infinite number of divisors."**
   - **False.** Composite numbers have a finite number of divisors. Only an infinite set, such as the set of all integers, would have an infinite number of divisors.

### Correct statements:
- **A composite number has a finite number of divisors.**
- **A composite number has 3 or more divisors.**

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Would you like further details or have any questions? 

Here are 5 related questions:
1. What is the smallest composite number?
2. How can you determine if a number is composite or prime?
3. Can composite numbers be expressed as a product of prime factors?
4. Are all even numbers composite?
5. What is the difference between prime and composite numbers?

**Tip:** To find divisors of a number, check how many integers divide it evenly (without a remainder).

Some natural numbers are composite numbers. Choose ALL of the TRUE statements about composite numbers. A composite number has exactly two divisors. A composite number has a finite number of divisors. A composite number is always odd. A composite number has 3 or more divisors. A composite number is always even. A composite number has an infinite number of divisors.

Explore key concepts about composite numbers with detailed explanations of true and false statements. This problem involves number theory and divisibility, helping students in Grades 6-8 understand the differences between prime and composite numbers.

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