Read each statement below and write only the letter of the correct answer on your worksheet.

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Directions: Read each statement below and write only the letter of the correct answer on your worksheet. (WEEK 4) a. C. 8 1. What is the greatest common factor of 4, 8, and 12? 2 b. 4 d. 12 2. Which of these sets of numbers lists exactly the common factors of 12 and 24? a. 1, 2, 3, 4, 6, 12 c. 1, 2, 3, 4, 5, 24 b. 1, 3, 4, 5, 7, 12 d. 1,3,6,9, 12, 24 3. What is the GCF of 6, 12, and 18? a. 5 b. 6 c. 12. d. 18 4. Mario was asked to find the GCF of 42 and 49. What number did he find? a. 7 b. 12 d. 18 5. There are 36 girls and 16 boys in the Math Club organized by Mr. Dela Cruz. He plans to divide the same gender equality. What is the biggest number of members that each group would have? a. 4 b. 8 d. 16 6. What is the LCM of 8, 12, 28? a. 158 b. 160 c. 168 d. 178 C. 14 c. 12 7. Which of these numbers are the missing multiples in this set: (15, 30, 45, ,)? a. 50, 55, 60 b.58, 75,90 C. 60, 75,90 c. 60, 75,90 d. 75, 90, 105 8. 72 is the LCM of what numbers? a. 5, 9, and 36 c. 7, 9, and 36 b. 6, 9, and 36 d. 8, 9, and 36 9. What is the LCM of 3, 9, and 12? a. 34 b.35 c. 36 d. 37 10. Which set represents the common multiples of 120? a. 30, 40, 60, 120 c. 30, 40, 50, 60 b. 120, 80, 60, 40 d. 120, 240, 360, 480

The Correct Answer and Explanation is:

Here are the correct answers and explanations for each question:

  1. What is the greatest common factor of 4, 8, and 12?
    • Answer: b. 4
    • Explanation: The greatest common factor (GCF) is the largest number that divides all the given numbers. The factors of 4 are 1, 2, 4; the factors of 8 are 1, 2, 4, 8; and the factors of 12 are 1, 2, 3, 4, 6, 12. The greatest common factor common to all is 4.
  2. Which of these sets of numbers lists exactly the common factors of 12 and 24?
    • Answer: a. 1, 2, 3, 4, 6, 12
    • Explanation: The common factors of 12 and 24 are the numbers that divide both 12 and 24 without a remainder. The factors of 12 are 1, 2, 3, 4, 6, 12, and the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The common factors are 1, 2, 3, 4, 6, and 12.
  3. What is the GCF of 6, 12, and 18?
    • Answer: b. 6
    • Explanation: The factors of 6 are 1, 2, 3, 6; the factors of 12 are 1, 2, 3, 4, 6, 12; and the factors of 18 are 1, 2, 3, 6, 9, 18. The greatest common factor is 6.
  4. Mario was asked to find the GCF of 42 and 49. What number did he find?
    • Answer: a. 7
    • Explanation: The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42, and the factors of 49 are 1, 7, 49. The greatest common factor is 7.
  5. There are 36 girls and 16 boys in the Math Club organized by Mr. Dela Cruz. He plans to divide the same gender equality. What is the biggest number of members that each group would have?
    • Answer: b. 8
    • Explanation: The greatest common factor of 36 and 16 is 8, so the largest group that can be made with equal numbers of girls and boys would have 8 members.
  6. What is the LCM of 8, 12, 28?
    • Answer: c. 168
    • Explanation: The least common multiple (LCM) is the smallest number that is a multiple of all given numbers. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168. The multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168. The multiples of 28 are 28, 56, 84, 112, 140, 168. The smallest common multiple is 168.
  7. Which of these numbers are the missing multiples in this set: (15, 30, 45, ,)?
    • Answer: c. 60, 75, 90
    • Explanation: The numbers are multiples of 15. The next multiples of 15 after 45 are 60, 75, and 90.
  8. 72 is the LCM of what numbers?
    • Answer: b. 6, 9, and 36
    • Explanation: The LCM of 6, 9, and 36 is 72. The least common multiple is the smallest number that is a multiple of all given numbers. 72 is the smallest multiple of 6, 9, and 36.
  9. What is the LCM of 3, 9, and 12?
    • Answer: c. 36
    • Explanation: The least common multiple of 3, 9, and 12 is 36. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36; the multiples of 9 are 9, 18, 27, 36; the multiples of 12 are 12, 24, 36. The smallest common multiple is 36.
  10. Which set represents the common multiples of 120?
  • Answer: d. 120, 240, 360, 480
  • Explanation: The multiples of 120 are 120, 240, 360, 480, and so on. These are all divisible by 120, making them common multiples.

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