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Tests are graded… Check Aeries! New Homework Stamp Logs Tomorrow 

Tests are graded… Check Aeries! New Homework Stamp Logs Tomorrow . Warmups. Multiply:. Solve the system:. 3. 1. Subtract:. 2. 10-1 Factors and Greatest Common Factors. Objective: To find prime factorizations and greatest common factors for monomials. Standard 11.0. Factors.

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Tests are graded… Check Aeries! New Homework Stamp Logs Tomorrow 

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  1. Tests are graded… Check Aeries!New Homework Stamp Logs Tomorrow 

  2. Warmups Multiply: Solve the system: 3. 1. Subtract: 2.

  3. 10-1 Factors and Greatest Common Factors Objective: To find prime factorizations and greatest common factors for monomials. Standard 11.0

  4. Factors Factor: a number or variable that divides evenly into your original number. Example 1: Find the factors of 72. 1 72 2 36 3 24 4 18 6 12 8 9 This problem is like #19-23 in homework tonight!

  5. Some terms to know Prime: Only factors are 1 & itself Composite: Having more than 2 factors Write the prime numbers up to 20: 1, 2, 3, 5, 7, 11, 13, 17, 19

  6. FACTOR TREE (for composite #s) 384 2 192 2 96 2 48 2 24 2 12 2 6 2 3 2•2•2•2•2•2•2•3 Prime factorization

  7. TOO 1) 20 2) 36 2•2•52•2•3•3 Hints If it is an even, it is divisible by 2 If you add the digits and the answer is divisible by 3, then the original number is divisible by 3 If it ends in 0 or 5, it is divisible by 5 Stop trying when the answer is smaller than the number you divided by

  8. Factoring with Variables • 81b2c3 9 9 3 3 3 3 3•3•3•3•b•b•c•c•c TOO 32abc3 2•2•2•2•2•a•b•c•c•c

  9. Greatest Common Factor (GCF) • Make a factor tree and multiply together what they have in common 80 28 2 40 2 14 2 20 2 7 2 10 2 5 2•2 = 4 =GCF

  10. GCF: Biggest number that will divide evenly into all of the numbers • With variables, take the smallest exponent • 32xy2z, 48x3y4 • 2•2•2•2•2, 2•2•2•2•3 • GCF: 16xy2 • TOO for Homework • 18xp2, 48x4

  11. Challenge Problem – find the GCF

  12. Homework Greatest Common Factor Worksheet

  13. Math Lab Warmups Multiply: 3. 1. Subtract: 2.

  14. 10-1 Prime Factorization Course 2 Example 1: Using a Factor Tree to Find Prime Factorization Write the prime factorization of the number. A. 24 Write 24 as the product of two factors. 24 8 · 3 Continue factoring until all factors are prime. 4 · 2 · 3 2 · 2 · 2 · 3 The prime factorization of 24 is 2 · 2 · 2 · 3. Using exponents, you can write this as 23 · 3.

  15. 10-1 Prime Factorization Course 2 Example 2: Using a Factor Tree to Find Prime Factorization Write the prime factorization of the number. B. 150 150 Write 150 as the product of two factors. 30 · 5 Continue factoring until all factors are prime. 10 · 3 · 5 2 · 5 · 3 · 5 The prime factorization of 150 is 2 · 3 · 5 · 5, or 2 · 3 · 52.

  16. 2-4 Prime Factorization Course 2 Insert Lesson Title Here Try This: Example 3 Write the prime factorization of the number. A. 36 Write 36 as the product of two factors. 36 18 · 2 Continue factoring until all factors are prime. 9 · 2 · 2 3 · 3 · 2 · 2 The prime factorization of 36 is 2 · 2 · 3 · 3. Using exponents, you can write this as 22 · 32.

  17. 10-1 Prime Factorization Course 2 Insert Lesson Title Here Try This: Example 4 Write the prime factorization of the number. B. 90 90 Write 90 as the product of two factors. 45 · 2 Continue factoring until all factors are prime. 9 · 5 · 2 3 · 3 · 5 · 2 The prime factorization of 90 is 3 · 3 · 5 · 2, or 2 · 32 · 5.

  18. Your turn!  • Prime Factorization Worksheet • Use scratch paper to make your factor trees. • Remember to list your factors in order from least to greatest. • Work Individually • Switch and grade when everyone is done 

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