2-4 Prime Factorization Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Warm Up List all the Factors for each number , 2, 3, 6 1, 2, 4, 8, 16 1, 17 Course Prime Factorization 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 23

Learn to find the prime factorizations of composite numbers. Course Prime Factorization

Vocabulary prime number composite number prime factorization Insert Lesson Title Here Course Prime Factorization

Course Prime Factorization A prime number is a whole number greater than 1 that has exactly two factors, 1 and itself. Three is a prime number because its only factors are 1 and 3.

Course Prime Factorization A composite number is a whole number that has more than two factors. Six is a composite number because it has more than two factors—1, 2, 3, and 6. The number 1 has exactly one factor and is neither prime nor composite. A composite number can be written as the product of its prime factors. This is called the prime factorization of the number. You can use a factor tree to find the prime factors of a composite number.

Write the prime factorization of the number. Additional Example 1A: Using a Factor Tree to Find Prime Factorization Course Prime Factorization A · 3 4 · 2 · 3 2 · 2 · 2 · 3 Write 24 as the product of two factors. Continue factoring until all factors are prime. The prime factorization of 24 is 2 · 2 · 2 · 3. Using exponents, you can write this as 2 3 · 3.

Write the prime factorization of the number. Additional Example B: Using a Factor Tree to Find Prime Factorization Course Prime Factorization B · 5 10 · 3 · 5 2 · 5 · 3 · 5 Write 150 as the product of two factors. Continue factoring until all factors are prime. The prime factorization of 150 is 2 · 3 · 5 · 5, or 2 · 3 · 5 2.

Example 1A (I will show you) Insert Lesson Title Here Course Prime Factorization Write the prime factorization of the number. A · 2 9 · 2 · 2 3 · 3 · 2 · 2 Write 36 as the product of two factors. Continue factoring until all factors are prime. The prime factorization of 36 is 2 · 2 · 3 · 3. Using exponents, you can write this as 2 2 · 3 2.

Example 1B (You help me out) Insert Lesson Title Here Course Prime Factorization Write the prime factorization of the number. B · 2 9 · 5 · 2 3 · 3 · 5 · 2 Write 90 as the product of two factors. Continue factoring until all factors are prime. The prime factorization of 90 is 3 · 3 · 5 · 2, or 2 · 3 2 · 5.

Lesson Quiz (You do Independently) Use a factor tree to find the prime factorization Sage and Scribe – Shoulder Partner (Biggest Hand Is Sage First) · Insert Lesson Title Here 2 2 · · 3 · 11 Course Prime Factorization 2 2 · · 3 3