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Published byJustin Short Modified over 7 years ago

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

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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: _________________

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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 to the herd!

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(2 x 2) x (2 x 3) (2 x 2) x (2 x 3) 4 x 6 = 24 4 x 6 = 24 (2 x 2) x (2 x 3) (2 x 2) x (2 x 3) 4 x 6 = 24 4 x 6 = 24 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 6 222 3 2 2 34 212

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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

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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 33 32 6 3 9 2

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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) 9 33 60 81

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Keep up the good work. NOW TRY SOME ON YOUR OWN. LET ME SEE YOUR WORK. BRING IT TO CLASS.

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