Which of the following statement(s) is/are true?
I. 2 is a prime number.
II. 4 is a composite number.

Options

A. Only I
B. Only II
C. Both I and II
D. Neither I nor II

Answer

To determine which of the statements is/are true, we will analyze each statement one by one.

### Step 1: Analyze Statement I - "2 is a prime number."
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. **Factors of 2**: The factors of 2 are 1 and 2.
3. **Check the Definition**: Since the only divisors of 2 are 1 and 2, it meets the criteria for being a prime number.

**Conclusion for Statement I**: True, because 2 has no divisors other than 1 and itself.

### Step 2: Analyze Statement II - "4 is a composite number."
1. **Definition of a Composite Number**: A composite number is a natural number greater than 1 that has at least one positive divisor other than 1 and itself.
2. **Factors of 4**: The factors of 4 are 1, 2, and 4.
3. **Check the Definition**: Since 4 has divisors other than 1 and itself (specifically, it has 2 as a divisor), it meets the criteria for being a composite number.

**Conclusion for Statement II**: True, because 4 has divisors other than 1 and itself.

### Final Conclusion:
Both statements are true. Therefore, the answer is that both Statement I and Statement II are true.