What is the largest two digit prime number?

Options

A. 91
B. 93
C. 97
D. 99

Answer

To find the largest two-digit prime number, we can follow these steps:

### Step-by-Step Solution:

1. **Understand what a prime number is**: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. This means it can only be divided evenly by 1 and the number itself.

2. **Identify the range of two-digit numbers**: The two-digit numbers range from 10 to 99. We are interested in the largest two-digit prime number, so we will start from 99 and move downwards.

3. **Check if 99 is a prime number**:
- Factors of 99: 1, 3, 9, 11, 33, 99.
- Since 99 has factors other than 1 and itself, it is not a prime number.

4. **Check if 98 is a prime number**:
- Factors of 98: 1, 2, 7, 14, 49, 98.
- Since 98 has factors other than 1 and itself, it is not a prime number.

5. **Check if 97 is a prime number**:
- Factors of 97: 1, 97.
- Since 97 has no other factors besides 1 and itself, it is a prime number.

6. **Since we found a prime number (97), we can stop here**: We do not need to check further down (96, 95, etc.) because we are looking for the largest two-digit prime number.

### Conclusion:
The largest two-digit prime number is **97**.

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