101 Factors and Greatest Common Factors

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10-1 Factors and Greatest Common Factors
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Background Information

• Read pg 558 Geometry Integration

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Example 1

• Find the factors of 32
• 1 x 32
• 2 x 16
• 4 x 8
• Therefore the factors of 32 are 1,2,4,8,16,32

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Prime Numbers

• Numbers whose factors are 1 and itself
• Ex 3,5,7,11,13,17,19,

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Composite Numbers

• Whole numbers that have more than 2 factors.
• Ex 32 was a composite number.
• The s 0 and 1 are considered neither prime nor
  composite.

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Prime Factorization

• Factoring a number until there are no composite
  numbers left.
• Use a factor tree.

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Prime Factorization Practice

• 160 -70

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Factoring Monomials

• A monomial is in factored form when it is
  expressed as the product of prime numbers and
  variables. No variable may have an exponent gt 1

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Find the Greatest Common Factor

• Greatest Common Factor---the greatest that is a
  factor of all of the integers.
• Example find the GCF of 84 and 70
• First find the Prime factorization of each
  using a factor tree.
• Second Find the Prime Factors that they have in
  common and multiply them together

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Example

• Find the GCF of
• 54 63 180

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Refer to the Book

• Pg 560 example 6

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Example

• Find the GCF of

and
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Example

• Find the GCF of

and
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Home Work

• Pg 561 18-36, 27-51odd, 65, 70, 73