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7-2 Prime Factorization
         Math Notes
       Number Sense 1.4
Consider this...
Consider this...
Prime Factorization is similar to the video
game Asteroids.
Consider this...
Prime Factorization is similar to the video
game Asteroids.

  A spaceship shoots a large asteroid.
Consider this...
Prime Factorization is similar to the video
game Asteroids.

  A spaceship shoots a large asteroid.

    The asteroid breaks into smaller pieces.
Consider this...
Prime Factorization is similar to the video
game Asteroids.

  A spaceship shoots a large asteroid.

    The asteroid breaks into smaller pieces.

    The spaceship shoots those and they
    break into even smaller pieces.
7-2 Prime Factorization
7-2 Prime Factorization
7-2 Prime Factorization
7-2 Prime Factorization
7-2 Prime Factorization
Is 24 a prime?
                 24
Is 24 a prime?

Is 6 a prime?
                    24       Is 4 a prime?

                6        4
Is 24 a prime?

Is 6 a prime?
                    24       Is 4 a prime?

                6        4

    3           2        2       2
Is 24 a prime?

Is 6 a prime?
                      24       Is 4 a prime?

                6          4

    3           2          2       2
   If you’re left
  with ALL prime...
Is 24 a prime?

Is 6 a prime?
                      24          Is 4 a prime?

                6             4

    3           2           2         2
   If you’re left          ...your answer is
  with ALL prime...          2x2x2x3
7-2 Prime Factorization
Is 18 a prime?
                 18
Is 18 a prime?

Is 9 a prime?
                 18       Is 2 a prime?

            9         2
Is 18 a prime?

Is 9 a prime?
                 18       Is 2 a prime?

            9         2
                           2 is prime.
Is 18 a prime?

Is 9 a prime?
                    18       Is 2 a prime?

            9            2
                              2 is prime.

   3            3
Is 18 a prime?

Is 9 a prime?
                     18       Is 2 a prime?

            9             2
                               2 is prime.

   3            3
  If you’re left
 with ALL prime...
Is 18 a prime?

Is 9 a prime?
                     18          Is 2 a prime?

            9                2
                                  2 is prime.

   3            3
  If you’re left          ...your answer is
 with ALL prime...             3x3x2
7-2 Prime Factorization
Is 40 a prime?
                 40
Is 40 a prime?

Is 10 a prime?
                 40       Is 4 a prime?

            10        4
Is 40 a prime?

Is 10 a prime?
                     40       Is 4 a prime?

            10            4

    5            2        2       2
Is 40 a prime?

Is 10 a prime?
                     40       Is 4 a prime?

            10            4

    5            2        2       2
  If you’re left
 with ALL prime...
Is 40 a prime?

Is 10 a prime?
                     40          Is 4 a prime?

            10               4

    5            2         2         2
  If you’re left          ...your answer is
 with ALL prime...          2x2x2x5

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7-2 Prime Factorization

  • 1. 7-2 Prime Factorization Math Notes Number Sense 1.4
  • 3. Consider this... Prime Factorization is similar to the video game Asteroids.
  • 4. Consider this... Prime Factorization is similar to the video game Asteroids. A spaceship shoots a large asteroid.
  • 5. Consider this... Prime Factorization is similar to the video game Asteroids. A spaceship shoots a large asteroid. The asteroid breaks into smaller pieces.
  • 6. Consider this... Prime Factorization is similar to the video game Asteroids. A spaceship shoots a large asteroid. The asteroid breaks into smaller pieces. The spaceship shoots those and they break into even smaller pieces.
  • 12. Is 24 a prime? 24
  • 13. Is 24 a prime? Is 6 a prime? 24 Is 4 a prime? 6 4
  • 14. Is 24 a prime? Is 6 a prime? 24 Is 4 a prime? 6 4 3 2 2 2
  • 15. Is 24 a prime? Is 6 a prime? 24 Is 4 a prime? 6 4 3 2 2 2 If you’re left with ALL prime...
  • 16. Is 24 a prime? Is 6 a prime? 24 Is 4 a prime? 6 4 3 2 2 2 If you’re left ...your answer is with ALL prime... 2x2x2x3
  • 18. Is 18 a prime? 18
  • 19. Is 18 a prime? Is 9 a prime? 18 Is 2 a prime? 9 2
  • 20. Is 18 a prime? Is 9 a prime? 18 Is 2 a prime? 9 2 2 is prime.
  • 21. Is 18 a prime? Is 9 a prime? 18 Is 2 a prime? 9 2 2 is prime. 3 3
  • 22. Is 18 a prime? Is 9 a prime? 18 Is 2 a prime? 9 2 2 is prime. 3 3 If you’re left with ALL prime...
  • 23. Is 18 a prime? Is 9 a prime? 18 Is 2 a prime? 9 2 2 is prime. 3 3 If you’re left ...your answer is with ALL prime... 3x3x2
  • 25. Is 40 a prime? 40
  • 26. Is 40 a prime? Is 10 a prime? 40 Is 4 a prime? 10 4
  • 27. Is 40 a prime? Is 10 a prime? 40 Is 4 a prime? 10 4 5 2 2 2
  • 28. Is 40 a prime? Is 10 a prime? 40 Is 4 a prime? 10 4 5 2 2 2 If you’re left with ALL prime...
  • 29. Is 40 a prime? Is 10 a prime? 40 Is 4 a prime? 10 4 5 2 2 2 If you’re left ...your answer is with ALL prime... 2x2x2x5

Editor's Notes