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Math 6 Unit 2 – Fun & Games Post-Test (revised 3/10) Name __________________ Date _____________ Choose the best answer. 1. What is the greatest common factor of 12 and 18? A. 3 B. 6 C. 12 D. 18 th 2. At a store opening, every 4 person received a free umbrella and every 9th person received a free poncho. Which number customer will receive both an umbrella and a poncho? A. 4 B. 18 C. 24 D. 36 3. 7 is the greatest common factor of 49 and what number? A. 24 B. 35 C. 98 D. 147 4. 36 is the least common multiple of 9 and what number? A. 12 B. 18 C. 24 D. 72 5. Dennis collects baseball cards. He has 28 Atlanta Braves cards and 36 Gwinnett Braves cards? He wants to divide the cards evenly into his wallet albums. What is the greatest number of wallet albums that he could have used? A. 9 B. 4 C. 7 D. 14 6. What is the prime factorization of the LCM of 48 and 72? a. b. c. d. 24 x 3 23 x 32 24 x 32 23 x 3 7. Which of these is a prime number? A. 6 B. 17 C. 25 D. 51 8. Which of the following choices best describes the number 15? A. even and prime composite B. even and composite 9. Which of the following numbers is not prime? A. 1 Updated 6/21/2017 1:29:47 AM B. 2 C. 3 D. 31 C. odd and prime D. odd and 10. What number is a prime factor of 60 and has 21 as a multiple? A. 1 B. 2 C. 3 D. 5 11. Which is NOT a prime number? a. 3 b. 4 c. 5 d. 7 12. Which is a prime number? a. 4 b. 10 c. 25 d. 61 13. What is the correct prime factorization for 36? a. 2 × 2 × 3 b. 3 × 3 × 3 c. 2 × 2 × 3 × 3 d. 3 × 3 × 3 × 3 14. What is the correct prime factorization for 144? a. 2 × 2 × 2 × 2 × 2 × 2 b. 2 × 2 × 2 × 2 × 3 × 3 c. 2 × 2 × 2 × 3 × 3 × 5 d. 2 × 2 × 3 × 3 × 3 × 5 15. Explain the difference between factors and multiples. a. The factors are the products and multiples are what is multiplied. b. The factors are what is multiplied to get the multiples. c. Multiples are what are multiplied to get the factors. d. Multiples are exponents and the factors are the base. 16. Compare and contrast GCF and LCM a. GCF-The factors are equal to and less than the number, LCM-the multiples are equal to and greater than the number. b. GCF-The multiples are equal to and greater than the number, LCM-the factors are equal to and less than the number. c. GCF-The multiples are equal to the factors, LCM – the factors are equal to the multiples. d. GCF- The factors are big, LCM the multiples are small. 17. Find the prime factorization of 175 a. 3 x 3 x5 b. 3 x 3 x7 c. 3 x 5 x 7 d. 5 x 5 x 7 18. What is the correct prime factorization of 568? a. 2x2x2x69 b. 2x2x2x71 c. 3x3x3x69 d. 3x3x3x71 19. What is the prime factorization of 450? a. 2x2x3x3x5 b. 2x2x2x3x5 c. 2x3x3x5x5 d. 2x3x5x5x5 Updated 6/21/2017 1:29:47 AM 20. What is the prime factorization of 72? a. 2x2x3x3 b. 2x2x2x3x3 c. 2x2x3x3x3 d. 2x2x2x3x3x3 21. Write 5 x 5 x 5 x 3 x 3 using exponents. __________ a. 5 2 x 3 b. 5 2 x 3 2 c. 5 2 x 3 2 d. 5 3 x3 2 22. Which is a factor of 35? a. 2 b. 3 c. 5 d. 12 23. Which is a multiple of 12? a. 8 b. 16 c. 35 d. 60 24. Which is NOT a factor of 1,155? a. 3 b. 5 c. 11 d. 13 25. What is the least common multiple of 8, 12, and 15? a. 120 b. 360 c. 720 d. 1,440 Updated 6/21/2017 1:29:47 AM Math 6 Unit 2 Post-Test Answer Key 1. B 2. D 3. B 4. A 5. B 6. C 7. B 8. D 9. A 10. C 11. B 12. D 13. C 14. B 15. B 16. C 17. D 18. B 19. C 20. B 21. D 22. C 23. D 24. D 25. A Updated 6/21/2017 1:29:47 AM