Factors
Multiples
Greatest Common Factor
Least Common Multiple
Word Problems
100
List all of the factors of 30.
1, 2, 3, 5, 6, 10, 15, 30
100
List 3 multiples of 8 that are less than 50.
8, 16, 24, 32, 40, 48
100
What is the greatest common factor of 12 and 15?
3
100
What is the least common multiple of 3 and 7?
21
100
Timer 1 is set to beep every 8 minutes. Timer 2 is set to beep every 6 minutes. How many times will they beep at the same time in 30 minutes?
1
200
List all of the common factors of 12 and 20.
1, 2, and 4
200
List 3 common multiples of 4 and 6.
12, 24, 36, 48, etc.
200
What is the greatest common factor of 24 and 20?
4
200
What is the least common multiple of 4 and 9?
36
200
You bring snacks for your basketball team every fifth game. Every third game is a home game. When will be the first time that you bring snacks to a home game?
15th game
300
List all of the factors of 48.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
300
List all the common multiples of 6 and 8 that are less than 50.
24 and 48
300
What is the greatest factor of 16 and 36?
4
300
What is the least common multiple of 2, 3, and 5?
30
300
After every 6th visit to a restaurant you receive a free beverage. After every 9th visit, you receive a free appetizer. On which visit will you receive both a free beverage AND a free appetizer?
18th Visit
400
List all of the factors of 72.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
400
List 4 multiples of 7 greater than 10 but less than 50.
14, 21, 28, 35, 42, 49
400
What is the great common factor of 50, 35, and 15?
5
400
What is the least common multiple of 20 and 12?
60
400
Three pigs entered a race around a track. Larry takes 12 minutes to run one lap. Curly takes 6 minutes to run one lap and it takes Moe 16 minutes to run one lap. If all three pigs begin the race at the same time, how many minutes will it take for all three pigs to be at the starting point again?
48 minutes
500
List all of the common factors of 24 and 36.
1, 2, 3, 4, 6, 12
500
List all the common multiples of 12 and 18 that are less than 75.
36 and 72
500
What is the greatest common factor of 64 and 80?
16
500
What is the least common multiple of 24 and 32?
96
500
Ms. Lane asked Bob to rewrite the sum 60 + 90 as the product of the GCF of the two numbers and a sum. Bob wrote 5(12 + 18). What mistake did Bob make? How should he have written it?
5 is not the GCF of 60 and 90, 30 is. He should have written 30(2 + 3).
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