The only prime number divisible by 2 is 2 itself.
Explanation:
A prime number is a whole number greater than 1 that has only two divisors: 1 and itself.
- 2 is a prime number because its only divisors are 1 and 2.
- 2 is divisible by 2 because 2 / 2 = 1.
Any other even number (a number divisible by 2) greater than 2 cannot be prime. This is because it will have at least three divisors: 1, 2, and itself. For example:
- 4 is divisible by 1, 2, and 4. Therefore, 4 is not prime.
- 6 is divisible by 1, 2, 3, and 6. Therefore, 6 is not prime.
In general, any number that is divisible by 2 and is greater than 2 is a composite number, not a prime number.
