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Name
Factors and Multiples
A factor is a number multiplied by another number to find a
product. For example, 3 and 5 are factors of 15. The number 15
is a multiple of 5 and 3, because 3 5 15.
Use arrays to find all the factors of 6.
List the first ten multiples of 8.
Make an array with 6 squares.
Multiply 8 by the numbers 1 through 10.
List each product.
188
2 8 16
3 8 24
4 8 32
5 8 40
2
This array contains 2 rows of 3 squares
each. So 2 and 3 are both factors of 6.
Make a different array with 6 squares.
6
6 8 48
7 8 56
8 8 64
9 8 72
10 8 80
So, the first ten multiples of 8 are:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80.
1
An array with 1 row of 6 contains 6
squares. So 1 and 6 are both factors of 6.
So, the factors of 6 are 1, 2, 3, and 6.
Use arrays to find all the factors of each product.
1. 10
2. 16
3. 21
List the first 10 multiples of each number.
4. 3
5. 5
6. 7
7. 10
NS 4.0 students know how to factor small whole
numbers.
RW67
Reteach the Standards
Harcourt Grade 4
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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
of 36?
19. Which multiple of 7 is a factor of 49?
A 1
20. Fred is placing 16 cups on a table
in equal rows. In what ways can he
arrange these cups?
PW67
Practice
Harcourt
Harcourt
multiples of 2 that are also factors
of 16. What will be the numbers in
Tammys pattern?