Download Homework

Name
Homework
3.2
Date
Prime and Composite Numbers
Find the factors of 36.
• 36 ⫼ 1 ⫽ 36
Begin by trying to divide 36 by each number starting with 1.
• 36 ⫼ 2 ⫽ 18
Stop when a factor is repeated.
• 36 ⫼ 3 ⫽ 12
• 36 ⫼ 4 ⫽ 9
• 36 ⫼ 6 ⫽ 6
Since 36 has the factors 1, 2, 3, 4, 6, 9, 12, 18, and 36, the
number 36 is a composite number.
List all factors of each number. Then identify the number as prime or composite.
1.
33
4.
94
1, 3, 11, 33; 2.
composite
1, 2, 47, 94;
composite
5.
87
1, 3, 29, 87;
composite
3.
51
1, 3, 17, 51;
composite
6.
1, 2, 4, 5, 8,
10, 20, 40;
composite
40
37
1, 37; prime
8. 45
1, 2, 4, 8,
1, 3, 5, 9, 15, 9. 61
11, 22, 44, 88; 45; composite
1, 61; prime
composite
7.
88
10.
76
11.
1, 2, 4, 19, 38,
76; composite
79
12.
1, 79; prime
93
1, 3, 31, 93;
composite
Problem Solving
Show Your Work
13.
A seamstress wants to place 24 spools of
thread on a rack of shelves so that each
shelf has the same number of spools. List
all the possible arrangements for 24 spools
of thread, beginning with all 24 spools on
1 shelf.
24 spools on 1 shelf;
12 spools on 2
shelves; 8 spools on
Copyright © Houghton Mifflin Company. All rights reserved.
3 shelves; 6 spools
4 shelves; 4 spools
6 shelves; 3 spools
8 shelves; 2 spools
12 shelves; 1 spool
24 shelves
on
on
on
on
on
Use with text pages 60–61.