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A prime number is...

A prime number is

A

an even number

B

an odd number

C

a composite number

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine what a prime number is, we can follow these steps: 1. **Definition of a Prime Number**: A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. 2. **Analyzing the Options**: - **Option A: Even Number**: The only even prime number is 2. All other even numbers can be divided by 2, making them composite. Therefore, this option is not entirely correct. - **Option B: Odd Number**: While most prime numbers are odd (like 3, 5, 7, 11, etc.), the number 2 is an exception as it is even. Thus, this option is also not entirely correct. - **Option C: Composite Number**: A composite number has more than two positive divisors. Since prime numbers only have two divisors (1 and itself), they cannot be composite. Therefore, this option is incorrect. - **Option D: None of These**: Since none of the previous options correctly define a prime number, this option is the correct answer. 3. **Conclusion**: The answer to the question "A prime number is" is **None of these** (Option D).

To determine what a prime number is, we can follow these steps: 1. **Definition of a Prime Number**: A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. 2. **Analyzing the Options**: - **Option A: Even Number**: The only even prime number is 2. All other even numbers can be divided by 2, making them composite. Therefore, this option is not entirely correct. - **Option B: Odd Number**: While most prime numbers are odd (like 3, 5, 7, 11, etc.), the number 2 is an exception as it is even. Thus, this option is also not entirely correct. - **Option C: Composite Number**: A composite number has more than two positive divisors. Since prime numbers only have two divisors (1 and itself), they cannot be composite. Therefore, this option is incorrect. ...
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