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How to Build a Factor Tree Using Factors and Prime Numbers

Discover the process of building a factor tree step by step, using prime numbers and factors. Start by identifying the factors of numbers like 12, 21, 36, and 49. Understand the difference between prime and composite numbers, and learn how to end your tree with prime numbers. Follow practical examples that demonstrate how to construct trees for numbers such as 30, 18, and 60. Finally, challenge yourself with exercises and show your work in class. Join the journey of mastering factor trees!

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How to Build a Factor Tree Using Factors and Prime Numbers

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

  2. 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: _________________

  3. 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

  4. 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

  5. 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

  6. 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.

  7. 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

  8. 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.

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