Transcript Name_____ 6__ Lesson 5 Investigating Factors Nov

Name_____ 6__
Lesson 5 Investigating Factors
INTRO - What is a “Perfect” number?
7? 13?
Nov. __
Name_____ 6__
Lesson 5 Investigating Factors
INTRO - What is a “Perfect” number?
7? 13?
No, one answer is 6! But why?
Nov. __
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
INTRO - What is a “Perfect” number?
7? 13?
No, one answer is 6! But why?
All its factors (other than itself) ADDS up
to itself. Factors of 6  1 + 2 + 3 = 6
Are there any others?
Hint: Try numbers between 20 and 30.
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
INTRO - What is a “Perfect” number?
7? 13?
No, one answer is 6! But why?
All its factors (other than itself) ADDS up
to itself. Factors of 6  1 + 2 + 3 = 6
Are there any others?
http://mathforum.org/dr.math/faq/faq.perfect.html
Name_____ 6__
Lesson 5 Investigating Factors
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EXPLORE - Page 63
Is 50 a perfect number? How do you know? Show your
work.
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
EXPLORE - Page 63
Is 50 a perfect number? How do you know? Show your
work.
Factors of 50 = 1 X 50, 2 X 25, 5 X 10.
So…
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
EXPLORE - Page 63
Is 50 a perfect number? How do you know? Show your
work.
Factors of 50 = 1 X 50, 2 X 25, 5 X 10.
So… 1 + 2 + 5 + 10 + 25 = 43 SORRY!! L
Name_____ 6__
Lesson 5 Investigating Factors
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CONNECT- Page 63
When we find the same factor for 2 numbers we find
common factors. We show the common factors of 9 and 15
in a Venn Diagram.
Factors of 9 
Factors of 15 
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
CONNECT- Page 63
When we find the same factor for 2 numbers we find
common factors. We show the common factors of 9 and 15
in a Venn Diagram.
Factors of 9  1 X 9, 3 X 3
Factors of 15  1 X 15, 3 X 5
Name_____ 6__
Lesson 5 Investigating Factors
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CONNECT- Page 63
When we find the same factor for 2 numbers we find
common factors. We show the common factors of 9 and 15
in a Venn Diagram.
Factors of 9  1 X 9, 3 X 3
Factors of 15  1 X 15, 3 X 5
Common Factors are:
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
CONNECT- Page 63
When we find the same factor for 2 numbers we find
common factors. We show the common factors of 9 and 15
in a Venn Diagram.
Factors of 9  1 X 9, 3 X 3
Factors of 15  1 X 15, 3 X 5
Common Factors are: 1 and 3
9
1
3
5
15
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#1) Use a Venn diagram to show the factors and
common factors of 18 and 24.
Factors of 18 =
Factors of 24 =
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#1) Use a Venn diagram to show the factors and
common factors of 18 and 24.
Factors of 18 = 1 X 18, 2 X 9, 3 X 6
Factors of 24 =
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#1) Use a Venn diagram to show the factors and
common factors of 18 and 24.
Factors of 18 = 1 X 18, 2 X 9, 3 X 6
Factors of 24 = 1 X 24, 2 X 12, 3 X 8, 4 X 6
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#1) Use a Venn diagram to show the factors and
common factors of 18 and 24.
Factors of 18 = 1 X 18, 2 X 9, 3 X 6
Factors of 24 = 1 X 24, 2 X 12, 3 X 8, 4 X 6
9
1
2
18
3
6
4
12
8
24
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Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#2 Find the common factors of each pair of numbers:
a) 15 =
b) 16 =
25 =
40 =
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#2 Find the common factors of each pair of numbers:
a) 15 = 1 X 15, 3 X 5 b) 16 = 1 X 16, 2 X 8, 4 X 4
25 = 1 X 25, 5 X 5
40 = 1 X 40, 2 X 20, 4 X 10,
5 X 8
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#2 Find the common factors of each pair of numbers:
a) 15 = 1 X 15, 3 X 5 b) 16 = 1 X 16, 2 X 8, 4 X 4
25 = 1 X 25, 5 X 5
40 = 1 X 40, 2 X 20, 4 X 10,
5 X 8
Common Factors are:
Common Factors are:
1, 5
1, 2, 4, 8
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Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#4) List all the factors of each number. Sort the factors
into prime numbers and composite. What do you notice?
a) 34 =
b) 40 =
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#4) List all the factors of each number. Sort the factors
into prime numbers and composite. What do you notice?
a) 34 = 1 X 34
b) 40 = 1 X 40
2 X 17
2 X 20
4 X 10
5 X 8
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#4) List all the factors of each number. Sort the factors
into prime numbers and composite. What do you notice?
a) 34 = 1 X 34
b) 40 = 1 X 40
2 X 17
2 X 20
4 X 10
5 X 8
Prime: 2, 17
Prime: 2,5
Composite: 34
Composite: 4, 8, 10,
20, 40
I noticed that both answers have 2 prime numbers each.
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#5) Draw a factor tree to find the factors of each
number that are prime.
a)
64
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#5) Draw a factor tree to find the factors of each
number that are prime.
a)
64
8
X
8
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Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#5) Draw a factor tree
number that are prime.
a)
8
2 X 4
to find the factors of each
64
X
8
X 2 X 4
Name_____ 6__
Lesson 5 Investigating Factors
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PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#5) Draw a factor tree to find the factors of each
number that are prime.
a)
64
8
X
8
2 X 4 X 2 X 4
2 X 2 X 2 X 2 X 2 X 2
Name_____ 6__
Lesson 5 Investigating Factors
Nov. __
PRACTICE- Page 65 #1, #2a,b, #4a,b,
#5a,b,c
#5) Draw a factor tree to find the factors of each
number that are prime.
a)
64
8
X
8
2 X 4 X 2 X 4
2 X 2 X 2 X 2 X 2 X 2
There is only 1 factor that is prime, 2.