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:
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5:
- Divisors: 1, 5
- Since it has exactly two divisors (1 and itself), 5 is a prime number.
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17:
- Divisors: 1, 17
- It also has exactly two divisors (1 and itself), so 17 is a prime number.
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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.
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29:
- Divisors: 1, 29
- It has exactly two divisors (1 and itself), making 29 a prime number.
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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