Teacher Created Resources Blue Star Education

   
Themes loading...
Classroom Decor loading...
Resource Books loading...
Manipulatives loading...
Organization loading...
Games loading...
More loading...

Super Factors

Download the Activity

Mathematics, Algebra and Function, Operations (+, -, x, /, etc.)

Grade 5- 8

Objective

Students will learn about factors and prime factorization.

Directions

Factors

  • A factor is one of two or more numbers that are multiplied together. The factors of 36 are the following: (1, 36) (2, 18) (3, 12) (4, 9) (6, 6) or (1, 2, 3, 4, 6, 9, 12, 18, 36).
  • The number 1 is always a factor of any number.
  • The number itself, such as 36, is always a factor.
  • A prime number is a counting number which has only 1 and itself for factors. For example, 7 is a prime number because the only factors are 1 and 7.
  • A composite number is a counting number which has factors other than 1 and itself. It has three or more factors. For example, 12 is a composite number because the factors are 1, 2, 3, 4, 6, and 12.
    Prime Factors and Prime Factorization
    The prime factors of a number are all of the factors of a number which are prime numbers. For example, the prime factors of 36 are 2 and 3. You can use a factor tree to determine the prime factors of a number:

    36
    /\
    4 9
    /\ /\
    2 2 3 3

    Exponents can be used to express 36 as a product of prime factors. The prime factorization of 36 is the following: 36 = 2 x 2 x 3 x 3 or 36 = 22 x 32
    Algebraic Factors
    An expression in algebra has slightly different terms for factors. Letters are called literal factors. Numbers are called numerical factors.
    Sample A
    Name the numerical and literal factors of this expression: 4abc.
    Numerical factors: (4) --- Literal factors: (a, b, c)
    Sample B
    Name the numerical and literal factors of this expression: 2ab 9xy.
    Numerical factors: (2, 9) --- Literal factors: (a, b, x, y)
    Any factor or factors in an algebraic term is called the coefficient of the product of the remaining factors.
    Sample A
    Name the numerical and literal coefficients of this expression: 4abc.
    Numerical coefficient: (4) --- Literal coefficient: (abc)
    Sample B
    Name the numerical and literal coefficients of this expression: 34xyz.
    Numerical coefficient: (34) --- Literal coefficient: (xyz)
    (Note: In a term such as abx, where there is no number, the numerical coefficient is always 1.)
  • Resources

    • copies of the activity pages for the students