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

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Warm Up List all the Factors for each number. 1. 6 2. 16 3. 17 4. 36 5. 23 1, 2, 3, 6 1, 2, 4, 8, 16 1, 17 Course 2 2-4 Prime Factorization 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 23

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Learn to find the prime factorizations of composite numbers. Course 2 2-4 Prime Factorization

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Vocabulary prime number composite number prime factorization Insert Lesson Title Here Course 2 2-4 Prime Factorization

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Course 2 2-4 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.

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Course 2 2-4 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.

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Write the prime factorization of the number. Additional Example 1A: Using a Factor Tree to Find Prime Factorization Course 2 2-4 Prime Factorization A. 24 24 8 · 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.

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Write the prime factorization of the number. Additional Example B: Using a Factor Tree to Find Prime Factorization Course 2 2-4 Prime Factorization B. 150 150 30 · 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.

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Example 1A (I will show you) Insert Lesson Title Here Course 2 2-4 Prime Factorization Write the prime factorization of the number. A. 36 36 18 · 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.

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Example 1B (You help me out) Insert Lesson Title Here Course 2 2-4 Prime Factorization Write the prime factorization of the number. B. 90 90 45 · 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.

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Lesson Quiz (You do Independently) Use a factor tree to find the prime factorization. 1. 27 2. 36 3. 28 Sage and Scribe – Shoulder Partner (Biggest Hand Is Sage First) 4. 132 5. 52 6. 108 7. 68 2 2 · 3 2 3 Insert Lesson Title Here 2 2 · 7 2 2 · 3 · 11 Course 2 2-4 Prime Factorization 2 2 · 13 2 2 · 3 3

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Prime Factorization every composite number expressed as a product of a prime number.

Prime Factorization every composite number expressed as a product of a prime number.

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