What is a prime factor?

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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

What is a prime factor?

Explanation:
A prime factor is a factor of a number that is itself a prime number. A factor is any number that divides the original number exactly, and a prime number is a number greater than 1 with no divisors other than 1 and itself. So a prime factor is one of the prime numbers that multiply together to give the original number. For example, the prime factors of 24 are 2 and 3, since 24 can be written as 2^3 × 3. This matches the idea of a factor that is a prime number. The other descriptions don’t fit: a prime number isn’t necessarily a factor of a given number, a factor that is a multiple isn’t how prime factors are defined, and a factor that is composite isn’t prime.

A prime factor is a factor of a number that is itself a prime number. A factor is any number that divides the original number exactly, and a prime number is a number greater than 1 with no divisors other than 1 and itself. So a prime factor is one of the prime numbers that multiply together to give the original number. For example, the prime factors of 24 are 2 and 3, since 24 can be written as 2^3 × 3. This matches the idea of a factor that is a prime number. The other descriptions don’t fit: a prime number isn’t necessarily a factor of a given number, a factor that is a multiple isn’t how prime factors are defined, and a factor that is composite isn’t prime.

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