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2.1 Factors and Multiples

2.1 Factors and Multiples. 2.1 Objectives. To identify all the factors of a given number To understand and distinguish prime and composite numbers To find prime factorizations To identify multiples To find common and GCFs, and common and LCMs To see how factors and multiples are related.

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2.1 Factors and Multiples

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  1. 2.1 Factors and Multiples

  2. 2.1 Objectives • To identify all the factors of a given number • To understand and distinguish prime and composite numbers • To find prime factorizations • To identify multiples • To find common and GCFs, and common and LCMs • To see how factors and multiples are related

  3. Terms • Factor- a factor of a whole number is another whole number that divides into it without a remainder. • Factor Pair- a factor pair for a number is two factors whose product equals that number. • Composite Number- a whole number greater than 1 with more than two factors. • Prime Number- a whole number greater than 1 with only two factors, 1 and itself.

  4. Terms cont… • Prime Factorization- when you write a composite number as a product of prime numbers, using a factor tree. • Common Factor- a common factor of two or more numbers is a number that is a factor for all the numbers. • Greatest Common Factor- (GCF) the GCF of two or more numbers is the greatest of their common factors. • Relatively Prime- if the only common factor of two or more numbers is 1.

  5. Terms cont… • Multiple- a multiple of a whole number is the product of that number and another whole number. • Common Multiple- a common multiple of a set of numbers is a multiple of all the numbers • Least Common Multiple- (LCM) is the smallest of the non-zero multiples.

  6. Factors • List them… • Use the divisibility rules to help. What are the factors of 54?

  7. Multiples • List them What are some multiples of 7?

  8. GCF and LCM (LCD) • List them • Step method • Prime Factorization Find the GCF and LCM of: 54 and 90

  9. Prime Factorization • Prime vs Composite Numbers • Factor Tree Find the GCF and LCM of: and

  10. The Endof 2.1

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