Is 149 a prime number? Explain how you decided

Yes, 149 is a prime number. Here's how I determined this:

1. Definition: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

2. First, I checked if 149 is less than or equal to 1. If it was, it would not be a prime number. But 149 is greater than 1.

3. Then, I checked if 149 has any divisors other than 1 and itself. To do this, I tried dividing 149 by all numbers up to its square root (approximately 12.2), because a larger factor of the number would have to be a multiple of smaller factor that has already been checked.

4. I found that 149 cannot be evenly divided by any of these numbers, so it has no other divisors besides 1 and itself.

5. Therefore, 149 is a prime number.