Which is the only even prime number?

Options

A. 0
B. 1
C. 2
D. None of these

Answer

To determine which is the only even prime number, we can follow these steps:

### Step 1: Understand the definitions
- **Even Number**: An even number is any integer that is divisible by 2 without a remainder.
- **Prime Number**: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

### Step 2: Identify the even numbers
The even numbers are: 0, 2, 4, 6, 8, 10, etc.

### Step 3: Check each even number to see if it is prime
1. **0**: Not a prime number (not greater than 1).
2. **2**: Check if it is a prime number.
- Divisors of 2: 1 and 2 (itself).
- Since it has exactly two distinct positive divisors (1 and 2), it is a prime number.
3. **4**: Divisors are 1, 2, and 4 (not prime).
4. **6**: Divisors are 1, 2, 3, and 6 (not prime).
5. **8**: Divisors are 1, 2, 4, and 8 (not prime).
6. **10**: Divisors are 1, 2, 5, and 10 (not prime).

### Step 4: Conclusion
The only even number that is also a prime number is **2**.

### Final Answer
The only even prime number is **2**.

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