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PRIME FACTORIZATION Sally VanCura Cobb 6th Grade Campus GPISD

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TEKS OBJECTIVE n Objective 6.1 D The student will be able to write prime factorizations using exponents.

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PURPOSE n 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 n A PRIME NUMBER is a number whose only factors are itself and 1. n For example, 41 is a prime number, since its only factors are 1 and itself. n This is the beginning list of prime numbers: 2, 3, 5, 7, 11, ___, ___, ___, ___, ___, ___, n An Answers: 13, 17, 19, 23, 29, 31

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PRIME FACTORIZATION n 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 The branches may show any two factors of 24. two factors of 24. 4 6 (**Do not include 1. It is not a prime number.) It is not a prime number.)

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Step 2: Continue the tree 24 until all branches end in until all branches end in prime numbers. 4 6 prime numbers. 4 6 2 2 2 3 2 2 2 3 Step 3: Write a product, using all the prime numbers at the ends of the branches. at the ends of the branches. SOLUTION: 24 = 2 x 2 x 2 x 3 or 2 3 x 3 Note: When you write prime factors, write them in order from least to greatest 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 and complete the lesson on prime factorization http://amby.com/educate/math/2- 1_fact.html http://amby.com/educate/math/2- 1_fact.html

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