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).