PRIME FACTORIZATION

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PRIME FACTORIZATION

• Sally VanCura
• Cobb 6th Grade Campus
• GPISD

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TEKS OBJECTIVE

• Objective 6.1 D The student will be
  able to write prime factorizations using
  exponents.

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PURPOSE

• The student will be able to draw a factor tree to
  write a composite number as the product of prime
  numbers .

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QUICK REVIEW

• A PRIME NUMBER is a number whose only factors are
  itself and 1.
• For example, 41 is a prime number, since its only
  factors are 1 and itself.
• This is the beginning list of prime numbers
  
  2, 3, 5, 7, 11, ___, ___, ___, ___, ___,
  ___,

• Answers 13, 17, 19, 23, 29, 31

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PRIME FACTORIZATION

• A number an be written as a product of all its
  prime factors. This is called the prime
  factorization of a number.

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Write the prime factorization of 24.

• Strategy Draw a factor tee, following these
  steps.
• Step 1 Draw a factor tree as shown. 24
• The branches may show any
• two factors of 24.
• 4 6
• (Do not include 1.
• It is not a prime number.)

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• Step 2 Continue the tree 24
• until all branches end in
• prime numbers. 4 6
• 
  2 2 2 3
• Step 3 Write a product, using all the prime
  numbers
• at the ends of the branches.
• SOLUTION 24 2 x 2 x 2 x 3 or 23 x 3
• Note When you write prime factors, write them
  in order from least to greatest ?

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ACTIVITY

• Go to the following website
• and complete the lesson on prime factorization ?
• http//amby.com/educate/math/2-1_fact.html