Primes-Factor-Trees_Composite_ Prime Factorization
- 1. Factors, Primes & Composite Numbers
- 2. Definition Product – An answer to a multiplication problem. 7 x 8 = 56 Product
- 3. Definition Factor – a number that is multiplied by another to give a product. 7 x 8 = 56 Factors
- 4. Definition Factor – a number that divides evenly into another. 56 ÷ 8 = 7 Factor
- 5. What are the products? 6 x 7 = 42 7 x 9 = 63 8 x 6 = 48 4 x 9 = 36 42 63 48 36
- 6. What are the factors? 6 x 7 = 42 7 x 9 = 63 8 x 6 = 48 4 x 9 = 36 6 & 7 7 & 9 8 & 6 4 & 9
- 7. Find all of the factors of 12 Pair factors: 1 x 12=12 3 x 4= 12 6 x 2=12 FACTORS OF 12: 1, 2, 3, 4, 6, 12
- 8. Find all of the factors of 16 1 x 16 4 x 4 8 x 2 FACTORS OF 16: 1, 2, 4, 8, 16
- 9. Directions: Give the factors of the following numbers. 15 24 18 21 8 28 6 32
- 10. Definition Prime Number – a number that has only two factors, itself and 1. 7 7 is prime because the only numbers that will divide into it evenly are 1 and 7.
- 11. Examples of Prime Numbers 2, 3, 5, 7, 11, 13, 17, 19 Special Note: One is not a prime number.
- 12. Definition Composite number – a number that has more than two factors. 8 The factors of 8 are 1, 2, 4, 8
- 13. Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14, 15 Special Note: Every whole number from 2 on is either composite or prime.
- 14. Definition Prime Factorization – A way to write a composite number as the product of prime factors. 2 x 2 x 3= 12 or 2 x 3 = 12 2
- 15. How to Do Prime Factorization Using a Factor Tree 48 Step 1 – Start with a composite number. Step 2 – Write down a multiplication problem that equals this number or any pair of factors of this number. 6 x 8 = 48
- 16. How to Do Prime Factorization Using a Factor Tree Step 3 – Find factors of these factors. 6 x 8 = 48 2 x 3 x 2 x 4 = 48
- 17. How to Do Prime Factorization Using a Factor Tree Step 4 – Find factors of these numbers until all factors are prime numbers. 6 x 8 = 48 2 x 3 x 2 x 4 = 48 2 x 3 x 2 x 2 x 2 = 48
- 18. How to Do Prime Factorization Using a Factor Tree Step 5 – Write the numbers from least to greatest. 6 x 8 = 48 2 x 3 x 2 x 2 x 2 = 48 2 x 2 x 2 x 2 x 3 = 48
- 19. How to Do Prime Factorization Using a Factor Tree Step 6 – Count how many numbers are the same and write exponents for them. 6 x 8 = 48 2 x 3 x 2 x 2 x 2 = 48 2 x 2 x 2 x 2 x 3 = 48 2 x 3 = 48 4
- 20. Prime factor this number 4 2 x 2 2 = 4 2 = 4
- 21. Prime factor this number 6 2 x 3 = 6
- 22. Prime factor this number 8 2 x 4 2 = 8 3 = 8 2 x 2 x 2 = 8
- 23. Prime factor this number 9 3 x 3 = 9 3 = 9 2
- 24. Prime factor this number 10 2 x 5 = 10
- 25. Prime factor this number 12 3 x 4 2 x 3 = 12 2 = 12 3 x 2 x 2 = 12 2 x 2 x 3 = 12
- 26. Prime factor this number 14 2 x 7 = 14
- 27. Prime factor this number 15 3 x 5 = 15
- 28. Prime factor this number 16 4 x 4 2 = 16 4 = 16 2 x 2 x 2 x 2 = 16
- 29. Prime factor this number 18 3 x 6 2 x 3 = 18 2 = 18 3 x 2 x 3 = 18 2 x 3 x 3 = 18
- 30. Prime factor this number 20 4 x 5 2 x 5 = 20 2 = 20 2 x 2 x 5 = 20
- 31. Prime factor this number 21 3 x 7 = 21
- 32. Prime factor this number 22 2 x 11= 22