1 / 28

Splash Screen

Splash Screen. Objectives Vocabulary Example 1 Example 2 Example 3 Quick Quiz. Lesson Menu. Identify all the factors of a given number. To understand and distinguish prime and composite numbers To find prime factorizations To identify multiples

latoya
Download Presentation

Splash Screen

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Splash Screen

  2. Objectives Vocabulary Example 1 Example 2 Example 3 Quick Quiz Lesson Menu

  3. Identify all the factors of a given number • To understand and distinguish prime and composite numbers • To find prime factorizations • To identify multiples • To find common and GCFs, and common and LCMs • To see how factors and multiples are related Objectives

  4. factor • greatest common factor, GCF • factor pair • composite number • prime factorization • prime number • common factor • relatively prime • common multiple • multiple • least common multiple (LCM) Vocabulary

  5. A.Determine whether 31 is prime or composite. Find factors of 31 by listing the whole number pairs whose product is 31. 31 = 1 × 31 The number 31 has only two factors. Answer: Therefore, 31 is a prime number. Example 1A

  6. B.Determine whether 36 is prime or composite. Find factors of 36 by listing the whole number pairs whose product is 36. 36 = 1 × 3636 = 2 × 1836 = 3 × 1236 = 4 × 936 = 6 × 6 The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Answer: Since the number has more than two factors, it is composite. Example 1B

  7. A B C D A.Determine whether 49 is prime or composite. A. prime B. composite C. neither D. prime and composite Example 1

  8. A B C D B.Determine whether 29 is prime or composite. A. prime B. composite C. neither D. prime and composite Example 1

  9. A. Find the GCF of 16 and 24. Method 1List the factors. factors of 16: 1, 2, 4, 8, 16 factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 The common factors are 1, 2, 4, and 8. The greatest common factor is 8. Example 2A

  10. Method 2Use prime factorization. 16: 2 ● 2 ● 2 ● 2 24: 2 ● 2 ● 2 ● 3 Common factors of 16 and 24: 2, 2, 2 The GCF is the product of the common prime factors. 2 ● 2 ● 2 = 8 Answer: The GCF of 16 and 24 is 8. Greatest Common Factor Example 2A

  11. B. Find the GCF of 28 and 35. First, factor each number completely. Then circle the common factors. 28: 2 ● 2 ● 7 35: 5 ● 7 The common prime factor is 7. Answer: The GCF of 28 and 35 is 7. Example 2B

  12. C. Find the GCF of 12, 48, and 72. 12: 2 ● 2 ● 3 48: 2 ● 2 ● 2 ● 2 ● 3 72: 2 ● 2 ● 2 ● 3 ● 3 The common prime factors are 2, 2, and 3. Answer: The GCF of 12, 48, and 72 is 2 ● 2 ● 3 or 12. Example 2C

  13. A B C D A. Find the GCF of 18 and 30. A. 3 B. 6 C. 2 D. 9 Example 2A

  14. A B C D B. Find the GCF of 24 and 32. A. 2 B. 6 C. 8 D. 12 Example 2B

  15. A B C D C. Find the GCF of 30, 42, and 60. A. 6 B. 3 C. 12 D. 2 Example 2C

  16. Find the LCM of 168 and 180. Number Prime Factorization Exponential Form168 2 ● 2● 2 ● 3 ● 7 23● 3 ● 7 180 2 ● 2 ● 3 ● 3 ● 5 22 ● 32 ● 5 The prime factors of both numbers are 2, 3, 5, and 7. Multiply the greatest power of 2, 3, 5, and 7 appearing in either factorization. LCM = 23 ● 32 ● 5 ● 7 = 2520 Answer: The LCM of 168 and 180 is 2520. Example 3

  17. A B C D Find the LCM of 144 and 96. A. 24 B. 144 C. 288 D. 13,824 Example 3

  18. A B C D Select a different connection that will give the same output as a × 36 machine. A.× 6 and × 30 B.× 14 and × 22 C.× 2 and × 20 D.× 4 and × 9 Quick Quiz 1

  19. A B C D Select a different connection that will give the same output as a × 24 machine. A.× 3 and × 8 B. × 20 and × 4 C. × 6 and × 5 D. × 12 and × 12 Quick Quiz 2

  20. A B C D Select a different connection that will give the same output as a × 100 machine. A. × 30 and × 70 B. × 50 and × 50 C. × 5 and × 20 D. × 1 and × 10 Quick Quiz 3

  21. A B C D Which of the following numbers are not factors of 18? 8, 9, 2, 4, 12, 36, 3 A. 4, 12, 36 B. 8, 4, 12, 36 C. 9, 4, 12, 3 D. 8, 4, 12, 3 Quick Quiz 4

  22. A B C D A. Find the greatest common factor for 24 and 56. A. relatively prime B. 6 C. 8 D. 12 Quick Quiz 5A

  23. A B C D B. Find the greatest common factor for 15 and 23. A. relatively prime B. 5 C. 3 D. 15 Quick Quiz 5B

  24. A B C D C. Find the greatest common factor for 8 and 15. A. 4 B. relatively prime C. 8 D. 2 Quick Quiz 5C

  25. A B C D What are the first five multiples of 7? A. 7, 49, 343, 2401, 16807 B. 7, 35, 175, 875, 4375 C. 7, 12, 17, 22, 27 D. 7, 14, 21, 28, 35 Quick Quiz 6

  26. End of the Lesson

  27. Image Bank Math Tools Multilingual e-Glossary Greatest Common Factor Resources

  28. End of Custom Shows

More Related