Transcript Prime Factorization

Prime Factorization
Introduction
• Grade Level and Objectives
• Factor Tree
• Divisibility Rules
• Exponential Notation
• Quiz
• Resources
What is Prime Factorization?
• Check out the following links to learn
about prime factorization:
– Prime factorization is the expression of a
positive integer as a product of prime
numbers.
– Prime factors and more
– A Wikipedia explanation
Grade Level and Objectives
• This lesson is intended for the middle
grades or an early algebra course.
• Objective 1: Students will be able to
factor a number by creating a factor tree.
• Objective 2: Students will be able to use
proper exponential notation when writing
the prime factorization of a number.
Factor Tree
• Learn about what a factor tree is and how
to create one for prime factorization:
– A definition
– An excellent PowerPoint on how to create
factor trees.
– Try a factor tree problem here!
– A Prime Factorization Machine.
– Try your own factor tree on this slateboard.
Divisibility Rules
• Divisibility rules help when finding the
prime factorization of a number.
• Knowing divisibility rules greatly increases
the speed at which a prime factorization if
found.
• The following links share the rules:
– Rules for dividing by numbers 3-13
– Rules and examples
Exponential Notation
• Exponential notation –A way to show
repeated multiplication of the same factor
• Repeated factors are displayed by using
an exponent:
The Prime Factorization of 12 = 22 x 3
• Check out this links for another example:
– Exponential notation (near the bottom of
page)
Quiz
• Follow this link to the:
PRIME FACTORIZATION QUIZ
Resources
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http://www.gomath.com/htdocs/lesson/prime_lesson2.htm
http://www.eduplace.com/math/mathsteps/5/b/index.html
http://en.wikipedia.org/wiki/Prime_factor
http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_1.html
http://www.tburg.k12.ny.us/anderson/ppt.htm
http://www.mathnstuff.com/math/spoken/here/1words/f/f4.htm
http://www2.sunysuffolk.edu/wrightj/MA22/Num/DivRule.htm
http://www.mathsisfun.com/divisibility-rules.html
http://schoolnotes.com/01504/gswanson.html