Which of the following is a composite number ?

Options

A. 23
B. 29
C. 32
D. none of these

Answer

To determine which of the given numbers is a composite number, we need to follow these steps:

### Step-by-Step Solution:

1. **Understand Composite Numbers**:
- Composite numbers are defined as numbers that have more than two distinct positive divisors. This means they can be divided evenly by at least one other number besides 1 and themselves.

2. **Evaluate the First Number (23)**:
- Check the divisors of 23.
- The only divisors of 23 are 1 and 23.
- Since it has only two divisors, 23 is not a composite number.

3. **Evaluate the Second Number (29)**:
- Check the divisors of 29.
- The only divisors of 29 are 1 and 29.
- Since it has only two divisors, 29 is not a composite number.

4. **Evaluate the Third Number (32)**:
- Check the divisors of 32.
- The divisors of 32 include 1, 2, 4, 8, 16, and 32.
- Since it has more than two divisors, 32 is a composite number.

5. **Conclusion**:
- Among the numbers given, the only composite number is **32**.