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Section 5.1 Factoring Numbers

Section 5.1 Factoring Numbers. Factor. When two or more numbers are multiplied, each of the numbers is a factor of the product. Example: 48 = 6 ● 8 6 and 8 are factors of 48. Factor Set. The set of factors for a given number. Example: List all the positive pairs of factors of 48.

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Section 5.1 Factoring Numbers

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  1. Section 5.1Factoring Numbers

  2. Factor • When two or more numbers are multiplied, each of the numbers is a factor of the product. • Example: • 48 = 6 ● 8 6 and 8 are factors of 48

  3. Factor Set • The set of factors for a given number. • Example: • List all the positive pairs of factors of 48. {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}

  4. Prime • An integer greater than 1 that has no positive integral factor other than itself and 1. • Example: 2, 3, 5, 7, 11, 13, 17,… • 0 and 1 are neither prime nor composite! 2 is the only even prime number!

  5. Prime Factorization • Expressing a positive integer as a product of primes • Example: Write the prime factorization of 48. 48 48=24 ● 3 6 8 3 2 4 2 2 2

  6. Common Factor • A factor of two or more integers • Example: • 5 is a common factor of 15 and 25 • 3 is a common factor of 6 and 18

  7. Greatest Common Factor • The common factor with the greatest coefficient and the greatest degree in each variable. • Example: • Find the GCF of 66 and 90.

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