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Grade 6 Mathematics Unit: 02 Lesson: 01 Factor Trees KEY For each given product, you will create a factor tree that displays all the prime factors of a product. Begin each tree by listing a pair of factors under the given product. If a factor is a composite number, list a pair of factors under the composite factor. If the factor is a prime number, circle the factor. Repeat this process until all the factors are prime numbers. Write a multiplication sentence using the prime factors to verify the product is correct. 1. The product is 12. 2. The product is 10. 2 x 5 = 10 3 x 2 x 2 = 12 3. The product is 18. 4. The product is 15. 3 x 5 = 15 3 x 2 x 3 = 18 5. The product is 9. 6. The product is 8. 3x3=9 2x2x2=8 ©2012, TESCCC 05/25/12 page 1 of 3 Grade 6 Mathematics Unit: 02 Lesson: 01 Factor Trees KEY For each given product, you will create a factor tree that displays all the prime factors of a product. Begin each tree by listing a pair of factors under the given product. If a factor is a composite number, list a pair of factors under the composite factor. If the factor is a prime number, circle the factor. Repeat this process until all the factors are prime numbers. Write a multiplication sentence using the prime factors to verify the product is correct. 7. The product is 24. 8. The product is 20. 5 x 2 x 2 = 20 3 x 2 x 2 x 2 = 24 9. The product is 21. 10. The product is 16. 3 x 7 = 21 2 x 2 x 2 x 2 = 16 12. The product is 25. 11. The product is 11. Note: Since 11 is already a prime number, the only prime factor is 11. 1 is written to show the factor pair for 11. 1 x 11 = 11 ©2012, TESCCC 05/25/12 5 x 5 = 25 page 2 of 3 Grade 6 Mathematics Unit: 02 Lesson: 01 Factor Trees KEY Use the information from problems 1 through 12 to complete the table below. Product Prime Factorization Exponent Form 13. Product is 12 3 x 2 x 2 = 12 31 x 22 = 12 14. Product is 10 5 x 2 = 10 51 x 21 = 10 15. Product is 18 3 x 2 x 3 = 18 32 x 21 = 18 16. Product is 15 3 x 5 = 15 31 x 51 = 15 17. Product is 9 3x3=9 32 = 9 18. Product is 8 2x2x2=8 23 = 8 19. Product is 24 3 x 2 x 2 x 2 = 24 31 x 23 = 24 20. Product is 20 5 x 2 x 2 = 20 51 x 22 = 20 21. Product is 21 3 x 7 = 21 31 x 71 = 21 22. Product is 16 2 x 2 x 2 x 2 = 16 24 = 16 23. Product is 11 1 x 11 = 11 11 x 111 = 11 24. Product is 25 5 x 5 = 25 52 = 25 25. Write the following prime factorizations and products for the given exponents. Exponents Prime Factorization Product 21 x 3 2 2x3x3 18 23 x 5 2 2x2x2x5x5 200 21 x 3 3 2x3x3x3 54 22 x 5 2 2x2x5x5 100 ©2012, TESCCC 05/25/12 page 3 of 3