Factor trees
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The document explains how to construct a factor tree for the number 180. It shows that 180 can be factored into 2 × 5 × 10 × 18. The factor tree is built by finding all factor pairs for 180 and then breaking down composite numbers into their own factor pairs until only prime numbers remain. The completed factor tree for 180 has the prime factors 2, 3, 5 arranged in a branching tree structure.
Factor trees
- 2. GROWING A FACTOR TREE Mr. Deepak Kumar
- 3. Can we grow a tree of the factors of 180? 180 Can you think of one FACTOR PAIR for 180 ? This should be two numbers that multiply together to give the Product 180. You might see that 180 is an EVEN NUMBER and that means that 2 is a factor… 2 x = 180 ? Or You might notice that 180 has a ZERO in its ONES PLACE which means it is a multiple of 10. SO… 10 x = 180 Or You might notice that 180 has a ZERO in its ONES PLACE which means it is a multiple of 10. SO… 10 x = 180 10 x 18 = 180 10 18
- 4. 180 We “grow” this “tree” downwards since that is how we write in English (and we can’t be sure how big it will be - we could run out of paper if we grew upwards). NOW You have to find FACTOR PAIRS for 10 and 18 10 18
- 5. 10 180 18 2 x 5 = 10 6 x 3 = 18 Find factors for 10 & 18 5 2 6 3
- 6. ARE WE DONE ??? Since 2 and 3 and 5 are PRIME NUMBERS they do not grow “new branches”. They just grow down alone. Since 6 is NOT a prime number - it is a COMPOSITE NUMBER - it still has factors. Since it is an EVEN NUMBER we see that: 6 = 2 x 3 2 3 3 2 5 10 2 6 180 18 3 5
- 7. … and if we flip it over we can see why it is called a tree 2 3 3 2 5 10 2 6 180 18 3 5