1. Objective- To find factors of numerical and variable expressions.
Lesson 5.1Greatest Monomial Factor
5:1 Greatest Monomial Factor
Objective- To find factors of numerical and variable expressions.
A whole number or variable expression
that divides evenly into a given whole
number or variable expression.
Factor -
List all the positive factors of the following. 18 24
5xy 1 18 1 24 1
5xy
Factor
Tower 2 9 2 12 5 xy 3 6 3 8 5x y 4 6 5y x
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

2. A number that has no factors other than 1 and itself.
Prime Number -
A number that has no factors
other than 1 and itself.
There are fifteen prime numbers from 0 to 50.
List them.
Prime
Composite
Neither 2
, 3
, 5
, 7
, 11 4
, 6
, 8
, 9
, 10
, 12
, 1 13
, 17
, 19
, 23 14
, 15
, 16
, 18
, 20 29
, 31
, 37
, 41 21
, 22
, 24
, 25
, 26 43
, 47 27
, 28
, 30
, 32
, 33 34
, 35
, 36
, 38
, 39 40
, 42
, 44
, 45
, 46 48
, 49
, 50
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

3. “Made up of distinct parts”- Webster’s Composite Number -
Numbers that are made up
of a product of primes.
Prime Factorization -
The unique set of prime
numbers whose product
equals a given number.
Write the prime factorization for the following. 18 24
5xy
Factor
Tree 2 9 4 6 5 xy 3 3 2 2 2 3 x y
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

4. Greatest Common Factor
GCF -
Greatest Common Factor
Find the GCF of the following. 20 24 2 10 2 12 2 5 2 6 2 3
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

5. Greatest Common Factor
GCF -
Greatest Common Factor
Find the GCF of the following.
9mn 6 9 mn 2 3 m m 3 3 m n
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

6. Greatest Common Factor
GCF -
Greatest Common Factor
Find the GCF of the following mentally. 1) 2) 3)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

7. 1) 2) 3) 4) 5) 6) Find the missing factor.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

8. Factoring Polynomials
Five Types of Factoring
1) Greatest Monomial Factor
1) Greatest Monomial Factor
2) Difference of Squares
3) Perfect Square Trinomial
4) Trinomial Factoring :
5) Trinomial Factoring :
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

9. Greatest Monomial Factor
Factor the greatest monomial factor. 1) 3) 2) 4)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

10. Greatest Monomial Factor
Factor completely. 1) 3) 2) 4)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series