<p> Cornell Notes: Prime Factorization and GCF </p><p>Name: ______</p><p>Class/Teacher: ______Core: ______</p><p>Date: ______Grade: __6______</p><p>Questions/Main Ideas Notes/Examples A Factor is a whole number that divides a nonzero whole number with remainder 0. Example: The factors of 6 are 1, 6, 2, and 3 A Prime Number is a whole number with exactly two factors, 1 and the number itself. Example: 61 is prime. There are only two factors: 1 and 61. A Composite Number is a whole number greater than 1 with more than two factors. Example: 24 is composite. There are more than 2 factors: 1, 2, 3, 4, 6, 8, 12, 24 Practice: Is the number prime or composite? A) 5 – prime D) 47- prime B) 9 – composite E) 36- composite C) 21 – composite *Show Factor F Prime Factorization- A number written as a product of its prime factors.</p><p>Prime Factorization: 5 X 2 X 3 Use a factor tree to find the prime factorization. You want all of the factors to be prime. 2³ X 3 2³ X 3 Practice: Find the Prime Factorization of the following numbers: A.) 27= 3³ B.) 32= 2⁵ C.) 15 = 3 x 5 The Greatest Common Factor (GCF) of two or more numbers is the greatest factor shared by all the numbers. Using a Factor Tree: </p><p>Make a factor tree; find the prime factorization for each number. Then identify the common factors and multiply them together. So the GCF of 16 and 24 is 9. Using a Division Ladder: 2) 42 56 Divide by 2, a common factor 7) 21 28 Divide by 7, a common factor 3 4 3 and 4 have no common factors </p><p>Multiply the common factors 2 x 7= 14 So the GCF of 42 and 56 is 14. </p><p>Practice: Find the GCF of each set of numbers: A.) 14, 35 = 7 B.) 20, 60 = 20 C.) 12, 15, 28 = 4 Summary, Reflection, Analysis:</p><p>______</p>