Which of the following is a prime number?

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Get ready for the FTCE Mathematics 5-9 exam with our quiz. Test your knowledge with flashcards and multiple choice questions, complete with hints and explanations. Prepare effectively and pass your test!

Multiple Choice

Which of the following is a prime number?

Explanation:
A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. When considering the choices presented, 11 meets this criterion, as its only divisors are 1 and 11. In contrast, the other numbers have multiple divisors: 8 can be divided by 1, 2, 4, and 8, making it composite; 9 can be divided by 1, 3, and 9, so it is also composite; and 15 can be divided by 1, 3, 5, and 15, identifying it as composite as well. The uniqueness of 11, having exactly two distinct positive divisors, confirms it as a prime number. Thus, among the choices, 11 stands out as the only prime number.

A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. When considering the choices presented, 11 meets this criterion, as its only divisors are 1 and 11.

In contrast, the other numbers have multiple divisors: 8 can be divided by 1, 2, 4, and 8, making it composite; 9 can be divided by 1, 3, and 9, so it is also composite; and 15 can be divided by 1, 3, 5, and 15, identifying it as composite as well. The uniqueness of 11, having exactly two distinct positive divisors, confirms it as a prime number. Thus, among the choices, 11 stands out as the only prime number.

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