Multiples
Factors
Common Multiples
Common Factors
Prime vs. Composite Numbers
100
What are multiples?
Multiples are the list of products of a certain number.
-or-
the numbers you say when you are skip counting
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What are factors?
Factors are numbers multiplied together to get a product.
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What are common multiples?
Multiples that are the same or shared between two or more numbers.
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What are common factors?
Factors that are the same or shared between two or more numbers.
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What is a prime number?
A number that has only 2 factors: 1 and itself.
200
Look at the chart. What are all the multiples of 2?
Here are the multiples of 2:
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What are all the factors of 6?
1, 2, 3, 6
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Find the first two common multiples of 4 and 6.
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24, 36
First two common multiples of 4 & 6 are:
12 & 24
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Find the first two common factors between 10 and 20.
10: 1, 2, 5, 10
20: 1, 2, 4, 5, 20
First two Common Factors of 10 & 20 are:
1 & 2
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What is a composite number?
A number that has 2 or more factors.
300
List the first ten multiples of 8.
8, 16, 24, 32, 40, 48, 56, 64, 72, 80
300
What are all the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
300
What are the first four common multiples of 2 and 7?
2:2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60
7:7,14,21,28,35,42,49,56,63,70
First Four Common Multiples of 2 & 7 are:
14, 28, 42, 56
300
Find the first four common factors between 24 and 30.
24: 1, 2, 3, 4, 6, 8, 12, 24
30: 1, 2, 3, 5, 6, 10, 15, 30
First two Common Factors of 24 & 30 are:
1, 2, 3 6
300
Are all odd numbers, prime numbers too?
If yes, explain why and give an example.
If no, explain why and give an example.
No, because some prime numbers have 2 or more factors.
Examples: 15, 21, 25, 27...
400
Which of the following numbers are multiples of 4?
64, 78, 92, 100
Answers:
64, 92, 100
400
Find the factors of 20.
1 x ___ = 20
2 x ___=20
4 x ___=20
The factors of 20 are 1, 2, 4, __, __, __
1 x 20 = 20
2 x 10 =20
4 x 5 =20
The factors of 20 are 1, 2, 4, 5, 10, 20.
400
Is 42 a common multiple of 2 & 5?
No, because 42 is a multiple of 2 but not a multiple of 5.
400
Choose all the common factors of 36 and 42:
2, 3, 6, 9, 12, 18, 36
Common Factors of 36 & 42:
2,3,6
400
Identify the prime numbers in the list:
3, 15, 19, 23, 33, 40
Prime Numbers: 3, 19, 23
500
Which of the following numbers are multiples of 7?
28, 67, 84, 91, 96
Answers:
28, 84, 91
500
Find the factors of 75.
1 x ___ =75
3 x ___=75
5 x ___=75
The factors of 75 are 1, 3, 5, __, __, __.
1 x 75 =75
3 x 25=75
5 x 15=75
The factors of 75 are 1, 3, 5, 15, 25, 75.
500
Is 96 a common multiple of 3 &4 ?
Yes, because when you skip count by 3's and 4's, 96 is in their list.
500
What are all the common factors of 35, 37, and 90?
1 is the only factor of 35, 37, and 90.
500
Identify the composite numbers in the list:
9, 17, 22, 48, 53, 61
Composite Numbers : 9, 22, 48
600
List the first 15 multiples of 12.
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
600
What are all the factors of 160?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
600
Choose all the numbers below that are common multiples of 3 & 4:
4, 12, 28, 32, 48, 72
Common Multiples of 3 & 4 are:
12, 48, 72
600
What is the greatest (biggest) common factor between 25 & 100?
25: 1, 5, 25
100: 1, 2, 4, 5, 20, 25, 50,100
25
600
List all the prime and composite numbers from 2-30.
Prime: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Composite: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30