Answer: The only even prime number is 2. A prime number is a number that can only be divided by 1 and itself. Since 2 can only be divided by 1 and 2, it is prime. It’s the only even prime because other even numbers can be divided by 2, so they have more than two divisors.
Complete Answer:
The only even prime number is 2. To understand why, let’s first define what a prime number is. A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Examples of prime numbers include 2, 3, 5, 7, 11, 13, and so on.
- 2 is a prime because it can only be divided by 1 and 2. It has only two divisors, which makes it a prime.
Let’s look at other even numbers:
- 4: It can be divided by 1, 2, and 4. Since it has more than two divisors, it’s not a prime.
- 6: It can be divided by 1, 2, 3, and 6, so it’s not a prime either.
- 8, 10, 12, etc.: These numbers are also divisible by 2, so they have more than two divisors and are not prime.
So, 2 is the only even number that is prime because all other even numbers can be divided by 2 and have more than two divisors.
Common Mathematical Doubts:
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