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Factors and Greatest Common Factors. I will find prime factors of integers and monomials. I will find the greatest common factor of integers and monomials. LT:. Find the Product. Find the Product. Find the Product. Simplify. Today’s Agenda. Success Criteria

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  1. Factors and Greatest Common Factors I will find prime factors of integers and monomials. I will find the greatest common factor of integers and monomials LT: Find the Product Find the Product Find the Product Simplify Today’s Agenda Success Criteria • I can find factors of integers and monomials • I can find the greatest common factor of integers and monomials • Do Now • Hand Back Quiz • Lesson • Independent Practice

  2. Factors When two numbers are multiplied, each number is called a factor of the product. List the factors of 18: 18: 1, 2, 3, 6, 9, 18 * Calculators: Y = (your number) / x

  3. Prime and Composite Numbers Prime Number – a whole number greater than 1, that’s only factors are 1 and itself. ex. 2, 3, 5, 7, 11, 13, 17, 19 Composite Number – a whole number greater than 1, that has more than two factors. ex. 4, 6, 8, 9, 10, 12, 14, 15, 16, 18

  4. Factor each number. Then classify it as primeor composite. a. 17 b. 25 Answer: 1, 17; prime Answer: 1, 5, 25; composite

  5. Greatest Common Factor Greatest Common Factor (GCF) – the greatest number or monomial that is a factor of ALL of the original terms. Steps: • Factor the smallest coefficient. • The GCF is the largest factor that goes into ALL of the other coefficients. • For each variable that ALLof the terms have, the GCF is always the smallest exponent.

  6. Finding the GCF Find the GCF of each set of monomials. • 48, 60 2) x3, x5 3) z4, z2

  7. 12a5, 18a2 • 18xy, 36y2 • 36x2y, 54 xy2z • 12a5c7, 24a3b2c, 18a10b4c3

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