2.2 Factors and Prime Factorization Learning Objectives: 1. Find the factors of a number. d composite numbers. ctorization of a number using factor trees and the division method. 2. Identify prime an3. Find the prime fa. Key Vocabulary: natural numbers, factors, factorization, prime numbers, composite numbers, prime factorization, divisibility tests. 4 . A Finding Factors of Numbers Example 1. List all the factors of each number. . 15 2. 19 3. 144 1 B. Identify Prime and Composite numbers. rNatural numbe —is counting numbers. (1, 2, 3, 4, …..) mberPrime nu —is a natural number greater than 1 that has exactly two different factors, 1 and itself. E xample: Composite number—is any natural number, other than 1, thatote: is not prime. N The natural number 1 is neither prime nor composite. Example 2. Identify each number as prime, composite or neith. 6 2. 47 3. 123 4. 1 er. 1 C. Find the prime factorization of a number using factor trees and the division method Prime Factorization of a number—is the factorization in which all the factors are prime numbers. Divisibility Tests: A whole number is divisible• . by • 2 if the last digit is even. divisible by 3• isible by 4. 3 if the sum of the digits is• 4 if its last two digits are div• 5 if the last digit is 0 or 5. 6 if it’s divisible by 2 and 3. • 9 if the sum of its digits is divisible by 9. Example 3. Use factor trees to find the prime factorization of each number. Use exponents with any repeated factors. . 132 1 . 756 2 2.2 (page131‐133) #1—75 eoo. “eoo” a Read Sections 2.3, 2.4 and 2.5 GW: me ns “every other odd(1, 5,9….)”