Yes, even numbers greater than 2 are composite.
Even numbers, by definition, are divisible by 2. A composite number is a positive integer that has at least one divisor other than 1 and itself. Therefore, any even number greater than 2 (e.g., 4, 6, 8, 10, etc.) will always be divisible by 1, 2, and itself.
This means they have more than two factors, satisfying the definition of a composite number. For instance:
- 4 is divisible by 1, 2, and 4.
- 6 is divisible by 1, 2, 3, and 6.
- 8 is divisible by 1, 2, 4, and 8.
Because every even number greater than 2 is divisible by 2, it cannot be a prime number (a number divisible only by 1 and itself) and thus, must be a composite number.
