3. To find the missing factor, given a monomial and one of its factors.Frameworks: 10.P.5
4. How could you rearrange 12 tiles to form a rectangle?
5. Factoring To factor an integer means to express it as the product of 2 or more integers. 12 = 1 x 12 12 = 2 x 6 12 = 3 x 4
6. Factoring 12 = 2 x 6 could also be expressed as 12 = 2 x 3 x 2 In the second case, none of the factors can be factored further without using the factor 1. 2 and 3 are called prime numbers
7. Prime Numbers A prime number is an integer greater than 1 whose only positive factors are 1 and itself. Can you think of examples? 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
8. Composite Numbers A composite number is a positive integer that has two or more positive factors other than 1 Can you think of examples? 4, 6, 8, 9, 10, 12, 14, 15 1 is neither prime nor composite
9. Prime factorization A factorization where all the factors are prime numbers 12 = 2 x 2 x 3 36 = 2 x 2 x 3 x 3
10. Give the prime factorization of 90: Choose 2 positive factors of 90. Continue factoring until all the factors are prime numbers.
11. Give the prime factorization of 100: Choose 2 positive factors of 100. Continue factoring until all the factors are prime numbers.
12. Can there be more than 1 prime factorization of a number? No.
13. GCF – Greatest Common Factor The greatestcommon factor (GCF) of two or more integers is the largest integer that is a factor of all the integers.
14. Find the GCF of 72 and 84 72 = 12 * 6 = 84 = 14 * 6 =