Factors or Multiples
List all of the factors of 32.
1, 2, 4, 8, 16, and 32
What is the greatest common factor of 12 and 15
3
What is the least common multiple of 3 and 7?
21
Use GCF distribution to add (show your work)
9 + 12
(3x3) + (3x4)
(3) x (3+4)
3 x 7
21
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?
hint: use the multiples to find the answer
1
List 3 multiples of 8 that are less than 50.
8, 16, 24, 32, 40, 48
What is the greatest common factor of 24 and 20?
4
What is the least common multiple of 4 and 9?
36
Use GCF distribution to add (show your work)
8 + 12
(4x2) + (4x3)
(4) x (2+3)
4 x 5
20
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?
hint: what is the LCM
15th game
List all of the factors of 42.
1, 2, 3, 6, 7, 14, 21, 42
What is the greatest factor of 16 and 36?
4
What is the least common multiple of 2, 3, and 5?
30
Use GCF distribution to add (show your work)
15 + 25
(5x3) + (5x5)
(5) x (3+5)
5 x 8
40
Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same numbers of novels and autobiographies. If Carlos must place all of the books on shelves, what are the possible numbers of shelves Carlos will use?
hint: what are the factors of the numbers
1, 2, 4, or 8 shelves
List 4 multiples of 7 greater than 10 but less than 50.
14, 21, 28, 35, 42, 49
What is the greatest common factor of 64 and 80?
16
What is the least common multiple of 20 and 12?
60
Use GCF distribution to add (show your work)
36 + 24
(12 x 3) + (12 x2)
(12) x (3+2)
12 x 5
60
Three pigs entered a race around a track. Piggly takes 12 minutes to run one lap. Piglet takes 6 minutes to run one lap and it takes Wiggly 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?
Hint ( what is the LCM of the 3 numbers)
48 minutes
List all of the common factors of 24 and 36.
1, 2, 3, 4, 6, 12
What is the greatest common factor of 50, 35, and 15?
5
What is the least common multiple of 21 and 24?
168
Use GCF distribution to add (show your work)
18 + 36
(18 x1) + (18 x2)
(18) x (1+2)
18 x 3
54
Johnny baked 36 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for his teacher friends at school. He wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If he wants each container to have the greatest number of cookies possible, how many plastic containers does he need?
Hint: (you want to find the GCF)
12 plastic containers