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Notes 2.4 Number Patterns: Prime Factorization

Notes 2.4 Number Patterns: Prime Factorization. A prime number has exactly two factors: 1 and itself. Two is the only even prime number. A composite number has more than two factors. The number 1 is neither prime nor composite. Example: 81 = 3*3*3*3 or 3^4

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Notes 2.4 Number Patterns: Prime Factorization

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  1. Notes 2.4 Number Patterns: Prime Factorization A prime number has exactly two factors: 1 and itself. Two is the only even prime number. A composite number has more than two factors. The number 1 is neither prime nor composite. Example: 81 = 3*3*3*3 or 3^4 You can write the prime factorization as the product of factors or exponentially. We will do the prime factorization by dividing by prime numbers.

  2. URL of the day: http://amby.com/educate/math/2-1_fact.html http://ccins.camosun.bc.ca/~jbritton/jbprimefactor.htm

  3. homework answers • 1–neither, 2-prime, 3-prime, 4-composite, 5=prime, 6-composite, 7-prime, 8-composite, 9-composite, 10-composite, 11-prime, 12-composite, 13-prime, 14-composite, 15-composite, 16-composite, 17-prime, 18-composite, 19-prime, 20-composite, 21-composite, 22-composite, 23-prime, 24-composite, 25-composite • 23x7 11) 24x32 13) 24x32x5 15) 2x3x5x7x11 17) 105 19) 54 21) 90

  4. 26; composite 32) B 33) D 34) C • mpa: Numerals are written as the product of their prime factors; 28, you need to know the symbol for 13. SR 1) 9x5, 45x1, 15x3 • 8x6, 12x4, 16x3, 24x2, 48x1 • 9x8, 12x6, 18x4, 24x3, 36x2, 72x1 • 10x8, 16x5, 20x4, 40x2, 80x1 • 27 6) 110 7) 57 8) 60 – x = 8; $52 9) E 10) G 11) C 12) B 13) F 14) D

  5. 39; 78 16) 25; 22 17) 101; 104 • 48; 24 • 24x3 10) 2x3x52 12) 25x3x7 • 3x5x112 16) 66 18) 56 20) 84 • 11; prime 24) 41; prime 28) 35 • 36 30) 18 or 24 MCA • 5x9(9+2)=55 2) 45-6x(2+3)=15 3) 36/(3+6)/2=2 4) (27-18)/(6-3)=3

  6. 5) 125 6) 64 7) 243 8) 64 9) C 10) A • D 12) B • 84x1, 42x2, 28x3, 21x4, 14x6, 12x7 • 130 15) 132 16) 225 17) 252 • false; 23 is the same as 2x2x2 or 8 • true 20) false; the expression (6x8)-(6/2) is equal to 45. 21) true 22) Yes; three divides evenly into both the length and the width.

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