Which of the following numbers is composite ?

Options

A. 53
B. 63
C. 73
D. 43

Answer

To determine which of the following numbers is composite, we first need to understand the definition of composite numbers. A composite number is a positive integer that has at least one positive divisor other than one and itself. In other words, it has more than two factors.

Let's analyze the numbers step by step:

1. **Identify the numbers**: The numbers we need to analyze are 2, 3, 4, 53, 73, and 63.

2. **Check each number**:
- **Number 2**: The factors of 2 are 1 and 2. Since it only has two factors, it is a prime number, not composite.
- **Number 3**: The factors of 3 are 1 and 3. It also has only two factors, so it is a prime number, not composite.
- **Number 4**: The factors of 4 are 1, 2, and 4. Since it has more than two factors, it is a composite number.
- **Number 53**: The factors of 53 are 1 and 53. It has only two factors, making it a prime number, not composite.
- **Number 73**: The factors of 73 are 1 and 73. It has only two factors, so it is also a prime number, not composite.
- **Number 63**: The factors of 63 are 1, 3, 7, 9, 21, and 63. Since it has more than two factors, it is a composite number.

3. **Conclusion**: The composite numbers from the list are 4 and 63.

**Final Answer**: The composite numbers are 4 and 63.