Which statement about factors is true?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which statement about factors is true?

Explanation:
Understanding what counts as a factor and how prime numbers behave is what this question is about. A factor is a positive number that divides another number exactly. A prime number has exactly two distinct positive factors: 1 and the number itself. That’s why the statement is true. A composite number, on the other hand, has more than two factors; for example, 6 has factors 1, 2, 3, and 6. Numbers greater than 1 that aren’t prime, like 4 or 9, aren’t prime, so the claim that every number greater than 1 is prime isn’t true. Also, 4 has factors 1, 2, and 4, not just 1 and 4, so that statement isn’t correct either.

Understanding what counts as a factor and how prime numbers behave is what this question is about. A factor is a positive number that divides another number exactly. A prime number has exactly two distinct positive factors: 1 and the number itself. That’s why the statement is true.

A composite number, on the other hand, has more than two factors; for example, 6 has factors 1, 2, 3, and 6. Numbers greater than 1 that aren’t prime, like 4 or 9, aren’t prime, so the claim that every number greater than 1 is prime isn’t true. Also, 4 has factors 1, 2, and 4, not just 1 and 4, so that statement isn’t correct either.

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