Factors and Multiples
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1 Factors and Multiples 2. The first thing that you must do when figuring the least common multiple is to a. Multiply the two numbers together b. Divide the largest number by the smallest one c. Divide the smallest number by the largest one d. Find the prime factorization of each of the two numbers 1. The least common multiple of two numbers is a. The product of the two numbers b. The smallest whole number that is a multiple of each of the two numbers c. The greatest whole number that is a factor of each number d. All of these 3. The next step is to a. Combine the factors of each number using each number only once b. Add all of the factors together c. Take the largest of the factors
2 4. If you have to 32 in one factorization and 33, you should a. Combine them into 35 b. Use the 32 c. Use the 33 d. Use the number 3 5. What is the least common multiple of the numbers 4 and 6? a. 4 b. 8 c. 12 d What is the least common multiple of 25 and 30? a. 50 b. 60 c. 125 d What is the least common multiple of 72 and 90? a. 144 b. 180 c. 270 d. 360
3 8. What is the least common multiple of 36 and 125 a. 360 b c d What is the least common multiple of 12 and 15 a. 20 b. 35 c. 60 d Michael has to take his medication every three days. If he takes it next Sunday, how many weeks will it be before he takes his medication on another Sunday? a. 3 b. 4 c. 5 d The smallest whole number that is a factor of two other numbers is called the a. Greatest Common Factor b. Prime Factorization c. Least common multiple
4 12. Which of these things do you not do to find the least common multiple? a. Combine the numbers from the factorizations b. Divide the smallest number by the largest one c. Find the prime factorization of each of the two numbers 13. The last step in finding the least common multiple is to a. Combine the factors of each number using each number only once b. Add all of the factors together c. Take the largest of the factors 14. If you have to 52 in one factorization and 53 in the other, you should a. Combine them into 55 b. Use the 52 c. Use the 53 d. Use the number The least common multiple of the numbers 8 and 10 is? a. 15 b. 20 c. 40 d. 80
5 16. What is the least common multiple of 15 and 20? a. 60 b. 50 c. 125 d What is the least common multiple of 8 and 9? a. 52 b. 64 c. 72 d What is the least common multiple of 28 and 24 a. 360 b. 168 c d What is the least common multiple of 25 and 30 a. 75 b. 100 c. 150 d. 300
6 20. Michael has to take his medication every four days. If he takes it next Sunday, how many days will it be before he takes his medication on another Sunday? a. 21 b. 23 c. 25 d Which of these explains how to find the greatest common factor of two numbers? a. List the factors of both numbers and find which of them are the same and select the largest b. Find the prime factorizations of both numbers and multiply together the factors that they both have in common c. Both of these d. Neither of these 21. Which of these is the best definition for the greatest common factor of two numbers? a. The smallest number that will go into the larger of the two numbers given. b. The dividend of the larger number of the two. c. The largest number that is a factor of both of them. d. The digit that is the same in both numbers. 23. Finish this diagram to find the prime factorization of 84. Which is it? a. 21 X 2 X 2 X 2 b. 2 X 2 X 2 X 2 c. 6 X 3 X 2 X 2 d. 7 X 3 X 2 X 2
7 24. After figuring the prime factorizations of two numbers, the next step is to a. Multiply all the factors together b. Multiply the greatest factors c. Multiply all of the factors which they have in common d. Multiply all of the factors which they do not have in common 25. The prime factors of 14 are 7 X 2 and the prime factors of 12 are 2 X 2 X 3. What is the greatest common factor? a. 7 b. 6 c. 2 d The greatest common factor of 156 and 112 isa. 4 b. 12 c. 18 d The greatest common factor of 24 and 36 isa. 4 b. 8 c. 12 d. 16
8 28. The greatest common factor of 28 and 35 is a. 3 b. 4 c. 7 d The greatest common factor of 805 and 644 is a. 2 b. 7 c. 23 d In the South zone, the little league has 288 players enrolled. In the North zone, there are 416 players enrolled. What is the largest team size that each team can have with equal size teams throughout the league, allowing everyone to be on a team? a. 11 b. 16 c. 18 d Which of these is the best definition for the greatest common factor of two numbers? a. The largest number that goes into each only once. b. The smallest number that will go into the larger of the two numbers given. c. The dividend of the larger number of the two. d. The largest number that is a factor of both of them.
9 32. Which of these explains how to find the greatest common factor of two numbers? a. List the factors of both numbers and find which of them are the same and select the largest b. Find the prime factorizations of both numbers and multiply together the factors that they both have in common c. Both of these d. Neither of these 34. After figuring the prime factorizations of two numbers, the next step is to a. Divide the largest factor by the smallest factor if they are in common b. Multiply all of the factors which they do not have in common c. Multiply the greatest factors d. Multiply all of the factors which they have in common 33. Finish this diagram to find the prime factorization of 84. Which is it? a. 25 X 5 b. 5 X 2 X 7 X 3 c. 5 X 5 X 5 X 3 d. 7 X 3 X 2 X The prime factors of 16 are 2 X 2 X 2 X 2 and the prime factors of 24 are 2 X 2 X 2 X 3. What is the greatest common factor? a. 8 b. 9 c. 6 d. 3
10 36. The greatest common factor of 57 and 78 isa. 4 b. 3 c. 13 d The greatest common factor of 24 and 36 isa. 4 b. 8 c. 12 d The greatest common factor of 28 and 54 is a. 2 b. 3 c. 9 d The greatest common factor of 80 and 99 is a. 11 b. 3 c. 5 d. None of these
11 36. The greatest common factor of 57 and 78 isa. 4 b. 3 c. 13 d The greatest common factor of 24 and 36 isa. 4 b. 8 c. 12 d The greatest common factor of 28 and 54 is a. 2 b. 3 c. 9 d The greatest common factor of 80 and 99 is a. 11 b. 3 c. 5 d. None of these
12 40. The Jones family and the Hawkins family both bought the exact same Halloween candy packages at the same store. If the Hawkins family has 140 candies and the Jones family has 252 candies, what is the largest amount of candy that could have been in each package? a. 16 b. 24 c. 28 d. 36
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