PRIME FACTORIZATION Sally VanCura Cobb 6th Grade Campus GPISD TEKS OBJECTIVE Objective 6.1 D The student will be able to write prime factorizations using exponents. PURPOSE The student will be able to draw a factor tree to write a composite number as the product of prime numbers . 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 PRIME FACTORIZATION A number an be written as a product of all its prime factors. This is called the prime factorization of a number. 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 (**Do not include 1. It is not a prime number.) 6 Step 2: Continue the tree until all branches end in prime numbers. 24 4 2 6 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 ACTIVITY Go to the following website and complete the lesson on prime factorization http://amby.com/educate/math/21_fact.html