Monomials and Factoring

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Monomials and Factoring

• Honors Math Grade 8

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Examples 2, 3, 4, 5, 11, 13, 17, 19
Examples 4, 6, 8, 9, 10, 12, 14, 15, 200
0 and 1 are NEITHER prime nor composite.
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Find the prime factorization of 90
Make a factor tree
What are some factors of 90 that are not prime?
Are 9 and 10 prime?
Write factors for each number that is composite.
Circle the prime numbers.
A whole number expressed as the product of prime
numbers is called the prime factorization of the
number.
Recall factors are numbers multiplied to obtain
a product.
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Factor the monomial completely
A monomial is in factored form when it is
expressed as the product of prime numbers and
variables, and no variable has an exponent
greater than 1.
-12 -1 x 12
12 2 x 2 x 3
Write the prime factorization of 12.
Write the exponents in expanded form.
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Find the GCF of 48 and 60
Write the prime factorization of each number.
Factor each number.
Circle the common prime factors.
The common prime factors are 2, 2, and 3.
The product of the common prime factors is called
the greatest common factor (GCF).
The GCF of 48 and 60 2 x 2 x 3 12
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Find the GCF
Factor each number.
Circle the common prime factors.
The GCF is the product of common prime factors.
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Find the GCF
Factor each number.
Circle the common prime factors.
The GCF is the product of common prime factors.
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GCF
Factor each number.
Circle the common prime factors.
The GCF is the product of common prime factors.