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How to Build a Factor How to Build a Factor Tree Tree You will need to use factors and prime numbers.
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How to Build a Factor Tree You will need to use factors and prime numbers.

Dec 24, 2015

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Justin Short
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Page 1: How to Build a Factor Tree You will need to use factors and prime numbers.

How to Build a Factor How to Build a Factor TreeTree

You will need to use factors and prime numbers.

Page 2: How to Build a Factor Tree You will need to use factors and prime numbers.

Factors

12: 1, 12build the outside

12: 1, 2, 6, 12Count up to 2 --- yes, 2 x 6

12: 1, 2, 3, 4, 6, 12Count up to 3 --- yes, 3 x 4

12: 1, 2, 3, 4, 6, 12Count up to 4 --- it’s already there.

SO YOU ARE DONE!!!!!!

List the Factors

21: _________________

36: _________________

2: _________________

49: _________________

22: _________________

Page 3: How to Build a Factor Tree You will need to use factors and prime numbers.

Prime Composite Prime Composite

Prime Numbers Only 2 factors, 1 and itself

2: 1, 2

7: 1, 7

13: 1, 13

Prime is special!

Composite More than 2 factors

4: 1, 2, 4

22: 1, 2, 11, 22

63: 1, 3, 7, 9, 21, 63

Welcome tothe herd!

Page 4: How to Build a Factor Tree You will need to use factors and prime numbers.

(2 x 2) x (2 x 3) (2 x 2) x (2 x 3)(2 x 2) x (2 x 3) (2 x 2) x (2 x 3) 4 x 6 = 24 4 x 6 = 4 x 6 = 24 4 x 6 = 2424

When building a tree, you need to end with prime numbers!

There are many ways to build a tree, but you always end with the same prime numbers.

24

4 6

22 2

24

32 2

34

2 12

Page 5: How to Build a Factor Tree You will need to use factors and prime numbers.

BUILD YOUR FACTOR TREES BUILD YOUR FACTOR TREES

Use factors to build your tree. End with prime numbers. Prove your tree by multiplying

the prime numbers. Place ( ) around 2 numbers. Always multiply the numbers

inside the ( ) first.

30

18

9

60

81

Page 6: How to Build a Factor Tree You will need to use factors and prime numbers.

Factor tree answers. Factor tree answers.

30 3 x (2 x 5) 3 x 10 = 30

18 (2 x 3) x 3 6 x 3 = 18

30

3

2

10

5

30

2

5

15

3

18

3 3

32

6 3

92

18

Page 7: How to Build a Factor Tree You will need to use factors and prime numbers.

Factor tree answersFactor tree answers

3 x 3 = 9

work this one out

These are the prime factors:(5 x 2) x (2 x 3)

work this

one out

These are the prime factors:(3 x 3) x (3 x 3)

9

3 3

60

81

Page 8: How to Build a Factor Tree You will need to use factors and prime numbers.

Keep up the good work. Keep up the good work.

NOW TRY SOME ON YOUR OWN.

LET ME SEE YOUR WORK. BRING IT TO CLASS.