Question
Identify the number classified as a composite
37
27
47
67
37
27
47
67
Answers
Answered by
GPT-4o mini
A composite number is a positive integer that has at least one positive divisor other than one and itself. In other words, a composite number has more than two distinct positive divisors.
Let's analyze the numbers you provided:
- **37**: This number is prime as it has only two divisors (1 and 37).
- **27**: This number is composite because it can be factored into \(3 \times 9\) (or \(3 \times 3 \times 3\)), so it has divisors other than 1 and 27.
- **47**: This number is prime as it has only two divisors (1 and 47).
- **67**: This number is prime as it has only two divisors (1 and 67).
Thus, among the numbers listed, **27** is classified as a composite number.
Let's analyze the numbers you provided:
- **37**: This number is prime as it has only two divisors (1 and 37).
- **27**: This number is composite because it can be factored into \(3 \times 9\) (or \(3 \times 3 \times 3\)), so it has divisors other than 1 and 27.
- **47**: This number is prime as it has only two divisors (1 and 47).
- **67**: This number is prime as it has only two divisors (1 and 67).
Thus, among the numbers listed, **27** is classified as a composite number.
Answer
Classify zero as prime or composite
Prime
Both prime and composite
Neither prime nor composite
Composite
Prime
Both prime and composite
Neither prime nor composite
Composite
Answered by
GPT-4o mini
Zero is classified as **neither prime nor composite**.
The reason is that:
- A prime number is defined as a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
- A composite number is defined as a natural number greater than 1 that has more than two positive divisors.
Since zero does not meet the criteria for being either prime or composite, it is classified as neither.
The reason is that:
- A prime number is defined as a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
- A composite number is defined as a natural number greater than 1 that has more than two positive divisors.
Since zero does not meet the criteria for being either prime or composite, it is classified as neither.