A prime number greater than 11 will never end with

Options

A. 5
B. 7
C. 9
D. 1

Answer

To solve the problem of determining which digit a prime number greater than 11 will never end with, we can analyze the properties of prime numbers and their divisibility.

### Step-by-Step Solution:

1. **Understanding Prime Numbers**:
- A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, a prime number has exactly two distinct positive divisors: 1 and itself.

2. **Identifying the Options**:
- The options given are: 5, 7, 9, and 1. We need to determine which of these digits a prime number greater than 11 cannot end with.

3. **Analyzing Each Option**:
- **Option 5**:
- Any number that ends with 5 is divisible by 5. The only prime number that ends with 5 is 5 itself, which is not greater than 11. Therefore, no prime number greater than 11 can end with 5.
- **Option 7**:
- A prime number can end with 7. For example, 37 and 47 are both prime numbers greater than 11 that end with 7.
- **Option 9**:
- A prime number can also end with 9. For instance, 19 and 59 are prime numbers greater than 11 that end with 9.
- **Option 1**:
- A prime number can end with 1. For example, 41 and 61 are prime numbers greater than 11 that end with 1.

4. **Conclusion**:
- The only digit from the options that a prime number greater than 11 cannot end with is **5**.

### Final Answer:
A prime number greater than 11 will never end with **5**.