If a set contains the numbers 2, 3, 5, 7, and 11, what can you identify about these numbers?

If a set contains the numbers 2, 3, 5, 7, and 11, what can you identify about these numbers?

• A. They are all composite numbers
• B. They are all prime numbers
• C. Some are composite and some are prime
• D. They do not have any prime numbers

Answer: (B)

The set of numbers provided consists of 2, 3, 5, 7, and 11. All of these numbers share the characteristic of being prime numbers. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. In this case: - The number 2 has divisors 1 and 2, making it prime. - The number 3 has divisors 1 and 3, making it prime. - The number 5 has divisors 1 and 5, making it prime. - The number 7 has divisors 1 and 7, making it prime. - The number 11 has divisors 1 and 11, making it prime. Since every number in the set meets the criteria for being prime, the conclusion that all of the numbers are prime is accurate. This directly supports the selection of the correct answer. In contrast, the other options do not hold true since: - Composite numbers are those that have divisors other than 1 and themselves, which does not apply to any of the numbers listed. - Since there are no composite numbers in the set, it cannot contain both composite and prime numbers

The set of numbers provided consists of 2, 3, 5, 7, and 11. All of these numbers share the characteristic of being prime numbers. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself.

In this case:

• The number 2 has divisors 1 and 2, making it prime.

• The number 3 has divisors 1 and 3, making it prime.

• The number 5 has divisors 1 and 5, making it prime.

• The number 7 has divisors 1 and 7, making it prime.

• The number 11 has divisors 1 and 11, making it prime.

Since every number in the set meets the criteria for being prime, the conclusion that all of the numbers are prime is accurate. This directly supports the selection of the correct answer.

In contrast, the other options do not hold true since:

• Composite numbers are those that have divisors other than 1 and themselves, which does not apply to any of the numbers listed.

• Since there are no composite numbers in the set, it cannot contain both composite and prime numbers