Which are composite numbers

Explain why they are composite or prime
5, 17, 27, 29, and 31

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine whether the given numbers (5, 17, 27, 29, and 31) are composite or prime, we first need to define what these terms mean:

  • Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.
  • Composite numbers are natural numbers greater than 1 that have more than two positive divisors.

Now, let's analyze each number:

  1. 5:

    • Divisors: 1, 5
    • Since it has exactly two divisors (1 and itself), 5 is a prime number.
  2. 17:

    • Divisors: 1, 17
    • It also has exactly two divisors (1 and itself), so 17 is a prime number.
  3. 27:

    • Divisors: 1, 3, 9, 27
    • Since 27 can be divided by more than two numbers (1, 3, 9, and 27), it is a composite number.
  4. 29:

    • Divisors: 1, 29
    • It has exactly two divisors (1 and itself), making 29 a prime number.
  5. 31:

    • Divisors: 1, 31
    • With exactly two divisors (1 and itself), 31 is a prime number.

Summary:

  • Composite Numbers: 27
  • Prime Numbers: 5, 17, 29, 31