Question

Consider the numbers 13 16 27 and 41 which of these numbers are prime how do you know which of these numbers are composite how do you know

Answer 1

To determine whether the numbers 13, 16, 27, and 41 are prime or composite, we first need to recall the definitions:

- A **prime number** is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- A **composite number** is a natural number greater than 1 that has more than two positive divisors.

Now, let's analyze each number:

1. **13**
- Divisors: 1, 13
- Since 13 has only two positive divisors (1 and itself), it is a prime number.

2. **16**
- Divisors: 1, 2, 4, 8, 16
- Since 16 has more than two positive divisors, it is a composite number.

3. **27**
- Divisors: 1, 3, 9, 27
- Since 27 also has more than two positive divisors, it is a composite number.

4. **41**
- Divisors: 1, 41
- Since 41 has only two positive divisors (1 and itself), it is a prime number.

### Summary:
- **Prime numbers**: 13, 41
- **Composite numbers**: 16, 27

This classification was made by checking the number of positive divisors for each of the numbers.