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- 1. Agenda Tuesday, Nov. 9 homework 2 p. 193 #2 - 20, 25 - 28 Do Now Write using exponents 1. 3 * x * y * x 3x 2 y 2. a * b * a * b * b * -2 -2a 2 b 3 3. Evaluate: 4x 2 + 3 for x = -5 4(-5) 2 + 3 4 * 25 + 3 100 + 3 = 103 Correct homework 4-3 Prime Factorization & Greatest Common Factor Daily Scribe -
- 2. p. 182 22. 111 is divisible by 3 because 1 + 1 + 1 =3 23. 131 - none 24. 288 is divisible by 2, 3 & 9 because it ends in 8, 2 + 8 + 8 = 18 which is divisible by 3 and 9. 25. 300 is divisible by 2, 3, 5, 10 because it ends in 0 and 3 + 0 + 0 = 3 26. 52 is divisible by 2 because the number ends in 2. 27. 891 is divisible by 3 and 9 because 8 + 9 + 1 = 18 which is divisible by 3 and 9. 28. 4,805 is divisible by 5 because it ends in 5. 29. 437,684 is divisible by 2 because it ends in 4. 30. a. and b. ~ 66 and 4,710 c. An integer is divisible by six if it is an even number and the sum of its digits is divisible by 3.
- 3. p. 188 3. -7a 2 b 4. 5 2 a 2 or 25a 2 5. 9 5 6. (-5) 4 8. 4 3 = 64 9. 2 6 = 64 10. (-4) 3 = -64 11. -4 3 = -64 16. -3 2 + 5*2 3 = 31 17. 2(9 - 4) 2 = 50 18. 25 - (3 * 2) 2 = -11 19. 2 * (-2) 4 + 10 1 = 42 20. 3a 2 - 2 3(5) 2 - 2 = 73 21. c 3 + 4 (-6) 3 + 4 = -212 22. -4y 2 + y 3 -4(3) 2 + 3 3 = -9 23. 2m 2 + n 2(-3) 2 + 4 = 22 36. 8 - x 3 8 - (-2) 3 = 16 37. 3(2m + 5) 2 3(2(2) + 5) 2 = 243 38. 4(2y - 3) 2 4(2(5) - 3) 2 196 39. y 2 + 2y + 5 (-6) 2 + 2(-6) + 5 29
- 4. A Prime number can only be divided evenly by itself AND one. One is not a prime because it can ONLY be divided evenly by one.
- 5. Are these number Prime or Composite?
- 6. Prime factorization - a composite number written as the product of it's prime factors Divide by prime numbers beginning with 2. Gather the primes and put in exponential form. 2*3*3 2*3 2 18 2 9 3 3
- 7. How Do You Find the Greatest Common Factor (GCF) Using Prime Factorization?
- 8. Prime Factors of 20 Prime Factors of 12 Greatest Common Factor (GCF) 1) Which numbers are in both circles? 2, 2 2) Find the product of the numbers that are in both circles. 4
- 9. Prime Factors of 20 Prime Factors of 12 20 = 2 x 2 x 5 12 = 2 x 2 x 3 3 2 2 5 The Greatest Common Factor (GCF) is the product of the common prime factors. The GCF of 12 and 20 is 4. Move the rectangle to check your answer.
- 10. Prime Factors of 28 Prime Factors of 16 28 = 2 x 2 x 7 16 = 2 x 2 x 2 x 2 Directions: Find the prime factorization of each number. Use the Venn diagram below to show the prime factors of 16 and 28. Then use it to find the GCF.

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