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Understanding Prime Factorization in Algebra: Key Concepts and Practice

This note discusses prime factorization in algebra, including definitions and examples of factors, prime numbers, and composite numbers. It outlines the process of identifying the prime factorization of numbers, providing practice problems with solutions for better understanding. Key examples include finding the prime factorization of numbers such as 60, 42, and 27, emphasizing the importance of recognizing prime numbers and composite numbers. This resource is ideal for students looking to strengthen their grasp of essential algebra vocabulary and concepts.

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Understanding Prime Factorization in Algebra: Key Concepts and Practice

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  1. Review- Prime Factorization Algebra Notes August 28th, 2012

  2. Vocabulary • Factors- numbers or expressions that are multiplied together • Prime numbers- whole numbers with exactly two different whole number factors - 1 and itself • Examples: • Composite number- whole number that has more than two whole number factors • Examples: • Prime factorization- a product of primefactors

  3. Notes Continued- Practice • Write the prime factorization of the number. If the number is prime, write prime. • 60 Answer: 22 · 3 · 5 • 42 Answer: 2 · 3 · 7 • 83 Answer: Prime • 27 Answer: 33

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