State whether the following statements are True or False :
2 is the only even prime number.

Answer

To determine whether the statement "2 is the only even prime number" is true or false, we can follow these steps:

### Step 1: Understand the definition of a prime number
A prime number is defined as a number that has exactly two distinct positive factors: 1 and itself.

**Hint:** Remember that factors are numbers that can be multiplied together to get another number.

### Step 2: Identify the prime numbers
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, and so on.

**Hint:** List out the prime numbers to see if any of them are even.

### Step 3: Analyze the number 2
The number 2 has two factors: 1 and 2. Thus, it is a prime number.

**Hint:** Check the factors of 2 to confirm it meets the prime number criteria.

### Step 4: Check for other even numbers
Now, let's consider other even numbers. Any even number greater than 2 can be divided by 2, which means it has at least three factors: 1, 2, and itself. Therefore, they cannot be prime.

**Hint:** Think about what happens when you divide even numbers by 2.

### Step 5: Conclusion
Since 2 is the only even number that has exactly two factors, we conclude that the statement "2 is the only even prime number" is true.

**Final Answer:** True

---