No, not all even numbers are composite. The number 2 is an example of an even number that is not composite; it is a prime number.
To understand this better, let’s break down the definitions. An even number is any integer that is divisible by 2, meaning it can be expressed in the form 2n, where n is an integer. Composite numbers, on the other hand, are numbers that have more than two distinct positive divisors. In simpler terms, composite numbers can be divided evenly by numbers other than 1 and themselves.
The number 2 has exactly two divisors: 1 and 2. Since it fits the definition of a prime number (having only two divisors), it is not composite. All other even numbers greater than 2 can be divided by 1, themselves, and at least one additional number (which is 2), making them composite.
In summary, while many even numbers are composite, the number 2 stands out as the only even prime number, proving that not all even numbers are composite.