1. Chapter 4- Factors, Fractions, and Exponents
Pre Algebra

2. Table of Contents 4.1- Factors and Prime Factorization
4.2- Greatest Common Factor
4.3- Equivalent Fractions
4.4-Least Common Multiple

3. Pre Algebra (Bell work)
4.1
Pre Algebra (Bell work)
Summarize the definitions below

4. 4.1- Factors and Prime Factorization
Pre Algebra

5. 4.1
Example 1
Writing Factors
There are 36 desks in a large classroom that need to be arranged in rows with the same number of desks in each row.
If there are to be no more than 9 desks in a row. How many arrangements are possible? List the arrangements

6. 4.1
Write all the factors of the number
1) 30 2) 31 3) 45 4) 87

7. 4.1
Example 2
Writing a Prime Factorization
Tell whether the number is prime or composite. If it is composite, write its prime factorization
1) ) ) 59

8. 4.1

9. 4.1
Example 3
Factoring a Monomial
6ab 2) 15n3
3) 3x3y ) 36s4t

10. HW pg. 174
4.1-
17-39 (Odd), 46-52, 56, 67, 71-83

11. Pre Algebra (Bell work)
4.2
Pre Algebra (Bell work)
Summarize the definitions below
A common factor is a whole number that is a factor of two or more nonzero whole numbers.
The greatest of the common factors is the greatest common factor (GCF)

12. 4.2- Greatest Common Factor
Pre Algebra

13. 4.2
A choir director wants to divide a choir into smaller groups. The choir has 24 sopranos, 60 altos, and 36 tenors. Each group will have the same number of each type of voice.
What is the greatest number of groups that can be formed? How many sopranos, altos, and tenors will be in each group?
-For the choir described, the greatest number of groups that can be formed is given by the GCF of 24, 60, and 36
Method 1
Method 2

14. 4.2
Example 1
Finding the Greatest Common Factor
Find the greatest common factor of the numbers
12, ) 21, 42
3) 16, 32, ) 27, 45, 90

15. 4.2
Relatively Prime: Two or more numbers are relatively prime if their greatest common
Factor is 1
Example 2
Identifying Relatively Prime Numbers
Find the GCF of the numbers. Then tell whether the numbers are relatively prime
A) 18, B) 39, 56

16. 4.2
Example 3
Finding the GCF of Monomials
Find the greatest common factor of the monomials
6x, 15x 2) 20x2, 36x
3) 32y2, 6x2y 4) 7xy3, 28xy2

17. HW pg. 179
4.2-
11, 13-15, 20-22, 28-32, 47, 53-60

18. 4.3- Equivalent Fractions
Pre Algebra

19. Pre Algebra (Bell work)
4.3
Pre Algebra (Bell work)

20. 4.3
Example 1
Writing Equivalent Fractions
Write two fractions that are equivalent to

21. 4.3
Example 2
Writing a Fraction in Simplest Form
Write in simplest form

22. Write the fraction in simplest form
4.3
Practice
Write the fraction in simplest form

23. 4.3
Example 3
Simplifying a Fraction
Tanika served 42 customers during the breakfast shift at a diner. Twenty-eight of the customers ordered eggs. Write the fraction in simplest form, of customers she served who order eggs

24. Simplifying a Variable Expression
4.3
Example 4
Simplifying a Variable Expression 3
Write 2

25. HW pg. 184
4.3-
9-11, (Odd), 28-32, 37, 41, 43, 47, 49,

26. 4.4 – Least Common Multiple
Pre Algebra

27. Pre Algebra (Bell work)
4.4
Pre Algebra (Bell work)
Summarize the Definitions below
A multiple: of a whole number is the product of the number and any nonzero whole number
A multiple shared by two or more numbers is a common multiple
The least common multiple (LCM)- The least common multiple of two or more numbers

28. 4.4
Example 1
Finding the Least Common Multiple
One brand of hot dogs is sold in packages of 6. One brand of hot dog buns is sold in packages 8.
What is the least number of hot dogs Kimberly can buy and be able to buy an equal number of hot dog buns?

29. 4.4
Find the least common multiple of the numbers
16, ) 20, 25
3) 6, 8, ) 15, 30, 50

30. 4.4
Example 2
Finding the Least Common Multiple of Monomials
Find the least common multiple of 4g3h2 and 15g2h4

31. Find the LCM of the monomials 1) 15x2, 27x 2) 6m2, 10m3
4.4
Practice
Find the LCM of the monomials
1) 15x2, 27x 2) 6m2, 10m3
3) 14ab, 21 bc 4) r2, 5rst

32. 4.4
Day 2
The Least Common Denominator (LCD) of two or more fractions is the least common
Multiple of the denominators.
Example 3
Comparing Fractions Using the LCD
Last year, a poll of 1200 students found that 300 spoke a first language other than
English.
This year, a poll of 10,000 students found that 4000 spoke a first language
Other than English.
In which year was the fraction of non-English first year language speakers greater?

33. 4.4
Example 4
Ordering Fractions and Mixed Numbers
Order the numbers , ,

34. 4.4
Practice
Use the LCD to determine which fraction is greater
1) )

35. HW pg. 169 4.4- Day 1: 3-9 (Odd), 29-35 (Odd), 37, 57