A prime number has _______

Options

A. 0, 2, 4, 6 or 8 at one's place
B. 1, 3, 5, 7 or 9 at one's place
C. Only 2 factors
D. Only 2 multiples

Answer

**Step-by-Step Solution:**

1. **Understanding Prime Numbers**: A prime number is defined as a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, a prime number has exactly two distinct positive divisors: 1 and itself.

2. **Identifying Factors**: The factors of a number are the numbers that can divide it without leaving a remainder. For a number to be prime, it should only be divisible by 1 and itself.

3. **Listing Examples**: Let's list some prime numbers: 2, 3, 5, 7, 11, etc. Each of these numbers can only be divided evenly by 1 and the number itself.

4. **Analyzing the Given Options**: The question presents options that include numbers with different properties. We need to identify which of these numbers is a prime number based on the definition.

5. **Checking Each Option**:
- **0**: Not a prime number (it has infinite factors).
- **2**: Prime number (factors are 1 and 2).
- **4**: Not a prime number (factors are 1, 2, and 4).
- **6**: Not a prime number (factors are 1, 2, 3, and 6).
- **8**: Not a prime number (factors are 1, 2, 4, and 8).

6. **Conclusion**: The only number from the options that is a prime number is **2**.

**Final Answer**: A prime number has **exactly two factors**: 1 and itself.

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