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.