Name
Lesson 12.1
Factors and Multiples
Use arrays to find all of the factors of each product.
1. 12
2. 18
3. 30
4. 21
7. 9
8. 7
List the first ten multiples of each number.
5. 11
6. 4
Is 8 a factor of each number? Write yes or no.
9. 16
10. 35
11. 56
12. 96
Is 32 a multiple of each number? Write yes or no.
13. 1
14. 16
15. 13
16. 8
Problem Solving and Test Prep
17. Tammy wants to make a pattern of
18. Which multiples of 4 are also factors
multiples of 2, that are also factors
of 16. What will be the numbers in
Tammy’s pattern?
of 36?
19. Which multiple of 7 is a factor of 49?
A 1
C
7
4
D
9
B
20. Fred is placing 16 cups on a table,
in equal rows. In what ways can he
arrange these cups?
PW67
Practice
Name
Lesson 12.1
Name
Lesson 12.2
Factors and Multiples
Prime and Composite Numbers
Use arrays to find all of the factors of each product.
Make arrays to find the factors. Write prime or composite for each number.
1. 9
2. 18
1, 2, 3, 4,
6, 12
3. 30
1, 2, 3, 6,
9, 18
4. 21
1, 2, 3, 5, 6,
10, 15, 30
5. 11
6. 4
8. 7
9, 18, 27, 36,
45, 54, 63,
72, 81, 90
7, 14, 21, 28,
35, 42, 49,
56, 63, 70
Is 8 a factor of each number? Write yes or no.
9. 16
10. 35
yes
11. 56
yes
no
14. 16
yes
12. 96
15. 13
no
yes
13. 45
14. 33
15. 51
composite
composite
12. 40
prime
18. 11
composite
19. 21
prime
composite
16. 88
composite
20. 67
composite
prime
in equal rows. In what ways can he
arrange these cups?
C
22. Is 49 prime, or composite? Explain.
composite; it has
more than two factors
20. Fred is placing 16 cups on a table,
9
PW67
23. Which of the numbers below is a
prime number?
A 20
B
21
24. Which of the numbers below is a
D
composite number? C
24
D 29
C
A 19
C
23
D
B
36
41
Circled problems are suggested homework problems.
Practice
PW68
Lesson 12.1
© Harcourt
11. 29
prime
be arranged in equal rows?
1 row of 16, 16 rows of 1, 2 rows
of 8, 8 rows of 2, 4 rows of 4
Circled problems are suggested homework problems.
D
10. 37
composite
21. In what other ways could the stickers
4, 12, 36
19. Which multiple of 7 is a factor of 49?
4
1, 3, 19, 57;
composite
composite
USE DATA For 21–22, use the photo of stickers.
yes
of 36?
2, 4, 8, 16
B
composite
8. 57
Problem Solving and Test Prep
16. 8
18. Which multiples of 4 are also factors
multiples of 2, that are also factors
of 16. What will be the numbers in
Tammy’s pattern?
7
1, 2, 3, 4,
9, 12, 18, 36;
4. 36
Possible answer: 49 rows of one
sticker or in one row of 49 stickers
17. Tammy wants to make a pattern of
C
9. 54
composite
yes
Problem Solving and Test Prep
A 1
7. 27 1, 3, 9, 27;
1, 2;
prime
prime
17. 42
Is 32 a multiple of each number? Write yes or no.
13. 1
6. 2
1, 41;
1, 2, 3, 4, 6,
8, 12, 24;
composite
Write prime or composite for each number.
7. 9
4, 8, 12, 16,
20, 24, 28,
32, 36, 40
5. 41
3. 24
1, 17;
prime
composite
1, 7, 21
List the first ten multiples of each number.
11, 22, 33, 44,
55, 66, 77, 88,
99, 110
2. 17
1, 3, 9;
Practice
Lesson 12.2
Items
Suggested rationale
Items
3
Practice finding all the factors
of composite numbers
2
Use a model to determine a
prime or composite number
6
Practice finding multiples
4
Use a model to determine a
prime or composite number
10
Practice finding all the factors
of composite numbers
6
Use a model to determine a
prime or composite number
15
Practice finding multiples
7
Use a model to determine a
prime or composite number
16
Practice finding multiples
9
Determine whether a number
is prime or composite
17
Practice finding multiples and
factors
14
Determine whether a number
is prime or composite
19
Practice finding multiples and
factors
15
Determine whether a number
is prime or composite
20
Practice finding multiples and
factors
20
Determine whether a number
is prime or composite
22
Determine whether a number
is prime or composite
23
Determine whether a number
is prime or composite
PW67-PW68
MXECA08AWK4X_PHTE_Rat.indd
PW67-PW68
Suggested rationale
© Harcourt
1. 12
Check students’ arrays.
Practice
10/30/07
9:11:19 AM