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Multiples and Factors
Review
MATH 7
MS. STEWART
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Multiples
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A multiple is formed by multiplying
a given number by the counting
numbers.
The counting numbers are 1, 2, 3,
4, 5, 6, etc.
Example: List the multiples of 4:
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4
4
4
4
4
4
x
x
x
x
x
x
1
2
3
4
5
6
=
=
=
=
=
=
4
8
12
16
20
24
Counting Numbers
So, the multiples of 4
are 4, 8, 12, 16, 20, 24,
28, etc.
What are the first five multiples
of 13?
13 x 1 =13
13 x 2 = 26
13 x 3 = 39
13 x 4 = 52
13 x 5 = 65
13, 26, 39, 52, 65
Find the Missing Multiples
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24 ____
30
6, 12, 18, ____,
15
18
3 6, 9, 12, ____,
___,
____,
21
12
72
 ___, 24, 36, 48, 60, ____
Factors
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Factors are the numbers you multiply
together to get a product.
For example, the product 24 has
several factors.
24 = 1 x 24
24 = 2 x 12
24 = 3 x 8
24 = 4 x 6
SO, the factors are 1, 2, 3, 4, 6, 8,
12, 24
Finding Factors
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Start with 1 x the number.
Try 2, 3, 4, etc.
When you repeat your factors,
cross out the repeat - you’re done
at this point.
If you get doubles (such as 4 x 4),
then you’re done. Repeats or
doubles let you know you’re done.
What are the factors of 16?
1 x 16
2x8
3 x ??
4x4
3 is not a factor, so cross it out
doubles = done
The factors of 16 are
1,2,4,8,16
What are the factors of 18?
1
2
3
4
5
6
x
x
x
x
x
x
18
9
6
??
??
3
The factors are
1,2,3,6,9,18
Repeat! Cross it out!
We’re done!
What are the factors of 7?
1x7
2 x ??
3 x ??
4
5
6
7
x
x
x
x
??
??
??
1
The only factors
of 7 are 1,7
This works, but it is a repeat. We
are done.
Prime and Composite Numbers
Prime numbers are
Composite numbers
numbers that only have
have more than two
two factors: one, and the factors.
number itself.
EXAMPLES:
3, 5, 7, 11, 31
EXAMPLES:
6, 18, 30, 100