Sec. 5.1

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Sec. 5.1

  1. 1. What is the difference between prime and composite numbers? List the first six prime numbers.
  2. 2. Prime #: only divisible by two numbers. Composite #: are divisible by three or more numbers. First six prime numbers: 2, 3, 5, 7, 11, 13
  3. 3. Learning Target: Students will learn how to write whole numbers as the product of prime factors called prime factorization while reviewing the meaning of prime and composite numbers.
  4. 4. Factors are the different groups that a number can be slit into evenly. Ex. 27 factors are: 1,3,9,27 1 group of 27 3 groups of 9 9 groups of 3 27 groups of 1
  5. 5. To find factors - I think about finding the pot of gold at the end of a rainbow. 36: 1, 2, 3, 4, 6 , 9, 12, 18, 36
  6. 6. Keep in mind your Divisibility Rules: 2: # is even (ends in 0,2,4,6,8) 3: if the sum of the digits is divisible by 3 5: if it ends in a 0 or 5 6: if it is even and divisible by 3 9: if the sum of the digits is divisible by 9 10: if it ends in a 0
  7. 7. List all the factors of the number. 8 18
  8. 8. Answers: 8: 1, 2, 4, 8 18: 1, 2, 3, 6, 9, 18
  9. 9. How could you rewrite 42 as the product of only prime numbers?
  10. 10. 42 = 2 x 3 x 7 Prime Factorization: is when you write a number as the product of prime numbers.
  11. 11. There are two diagrams you can use to write the factorization of a number. 1. Factor Tree 2. Ladder
  12. 12. Factor Tree Prime Factorization is 2x2x2x2x3 = 24x3 48 2 24 2 2 12 2 2 2 6 2 2 2 2 3
  13. 13. Ladder: 2, 3, 5, 7, 11, 13 2 48 2 24 2 12 2 6 3 3 1 Prime factorization is 2x2x2x2x3 = 24x3
  14. 14. Ladder: Ask each time is your number you have is divisible by 2. Try 2 until it doesn’t work any more then try 3. Try 3 until it doesn’t work any more and so on. You are finished when you reach the number 1.
  15. 15. Find the prime factorization of the number. 90 200
  16. 16. Answers: 90: 2 x 3 x 3 x 5 = 2 x 32 x 5 200: 2 x 2 x 2 x 5 x 5 = 23 x 5
  17. 17. Can you write whole numbers as the product of prime factors? Can you list factors of a number?

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