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How to Build a Factor Tree. You will need to use factors and prime numbers. . Factors 12: 1, 12 build the outside 12: 1, 2, 6, 12 Count up to 2 --- yes, 2 x 6 12: 1, 2, 3, 4, 6, 12 Count up to 3 --- yes, 3 x 4 12: 1, 2, 3, 4, 6, 12
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How to Build a Factor Tree You will need to use factors and prime numbers.
Factors • 12: 1, 12 build the outside • 12: 1, 2, 6, 12 Count up to 2 --- yes, 2 x 6 • 12: 1, 2, 3, 4, 6, 12 Count up to 3 --- yes, 3 x 4 • 12: 1, 2, 3, 4, 6, 12 Count up to 4 --- it’s already there. SO YOU ARE DONE!!!!!! • List the Factors • 21: _________________ • 36: _________________ • 2: _________________ • 49: _________________ • 22: _________________
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 to the herd! Prime Composite
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 24 2 12 4 6 4 3 2 2 2 3 2 2 (2 x 2) x (2 x 3) (2 x 2) x (2 x 3) 4 x 6 = 24 4 x 6 = 24
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 BUILD YOUR FACTOR TREES
30 3 x (2 x 5) 3 x 10 = 30 • 18 (2 x 3) x 3 6 x 3 = 18 18 30 10 6 3 3 5 2 3 2 30 18 15 9 2 2 3 5 3 3 Factor 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) 81 9 3 3 60 Factor tree answers
NOW TRY SOME ON YOUR OWN. • LET ME SEE YOUR WORK. BRING IT TO CLASS. Made by Mrs. Farrow 4C Keep up the good work.