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Pre-Algebra
179
Chapter 4
Resource Book
1.
Name two common factors (other than 1) of the numbers 18 and 24.
2.
Give an example of two composite numbers that are relatively prime.
Find the greatest common factor of the numbers.
3.
8, 24
4.
7, 35
5.
14, 21
6.
22, 55
7.
12, 42
8.
22, 64
9.
16, 36
10.
36, 90
11.
42, 98
Find the greatest common factor of the numbers. Then tell whether the
numbers are relatively prime.
12.
27, 42
13.
24, 33
14.
22, 35
15.
16, 39
16.
26, 65
17.
54, 55
Find the greatest common factor of the monomials.
18.
3
x
, 27
x
19.
44
n
, 28
20.
16
y
, 48
y
3
21.
14
r
2
, 21
r
3
22.
9
s
3
, 27
s
4
23.
33
z
2
, 44
z
5
Tell whether the numbers are relatively prime.
24.
228, 418
25.
243, 256
26.
17, 374
27.
A school has 30 students on its Academic Decathlon team. To practice for
the oral Super Quiz portion of the Academic Decathlon, they want to divide
into smaller practice teams with equal numbers of students from each grade.
There are a total of 6 freshman, 12 sophomores, 4 juniors, and 8 seniors on
the team. What is the greatest number of practice teams possible?
a.
Write the prime factorization of the number of students in each grade.
b.
Find the common prime factors of the numbers.
c.
What is the greatest number of practice teams possible?
28.
You work at a fruit stand. You are putting fruit baskets together. You have
30 oranges, 24 bananas, 42 apples, and 12 peaches. What is the greatest
number of identical fruit baskets you can make if you use all of the fruit?
Lesson 4.2
Practice A
For use with pages 179–183
Name
Date
4.2
L E S S O N
