Objective: Find the prime factorization of a composite number.

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Presentation transcript:

Objective: Find the prime factorization of a composite number.

A Prime Number: is a whole number greater than 1 that has exactly 2 factors, 1 and itself. Examples: 2 = 1 × 2 3 = 1 × 3 5 = 1 × 5 and 7, 11, 13 … A Composite Number is a whole number greater than 1 that has more than two factors. Examples: 4 = 1,2,4 6= 1,2,3,6 and 8, 9, 10 …

Determine whether the number is prime or composite. 17 12 15 24 23

Prime Factorization: Every composite number can be written as a product of prime numbers. This product is the prime factorization. You can use a factor tree to find the prime factorization. Examples: Method 1 60 2 30 2 15 3 5 Method 2 60 2 30 2 15 3 5 5 1

Examples: Find the prime factorization. 1. 18 2. 28 3. 126

Homework: Determine whether each number is prime or composite. 22 44 13 39 81 31 Find the prime factorization of each number. 96 42 99 64