Factors
Write all of the factors 12.
1, 2, 3, 4, 6, 12
Is this statement true or false:
The only factors of 9 are 9 and 1; therefore, 9 is prime.
False: 9 also has a factor of 3; therefore 9 is composite.
List the first 5 multiples of the number 3.
3, 6, 9, 12, 15
A roller coaster takes 10 minutes to complete one lap of its tracks. If the roller coaster runs for an hour, what are the running times that the roller coaster will be back at the start?
10, 20, 30, 40, 50, 60
Is the sum of this expression prime or composite?
38 + 19 = ?
Composite.
38 + 19 = 57
Factors of 57: 1, 3, 19, 57
Is this number prime or composite?
51
Composite
Are these factors or multiples of 14:
14, 28, 42
Multiples
True or false: 72 is a multiple of 18.
True! 18x4=72
18, 36, 54, 72...
Suzanne has 42 cupcakes to arrange into equal rows for a party. How many different arrays can Suzanne make with the 42 cupcakes? List all the possible arrays.
1x42, 42x1
2x21, 21x2
3x14, 14x3
6x7, 7x6
Why is the number 1 neither a composite nor prime number?
Because it only has 1 factor: 1!
What are all the factor pairs of 30?
1 and 30
2 and 15
3 and 10
5 and 6
Write and label 2 factors and multiples of 21.
Factors might include: 1, 21, 7, 3
Multiples might include: 21, 42, 63...
Write a multiple of 4 that has a factor of 6.
24, 48, ...
Gene bought 7 action figures. What are the different equal-sized groups he can put his action figures in?
7x1, 1x7
What factors of 20 are also prime?
2, 5
Mr. Widhalm is organizing chairs in the gym for a band performance. If there are 45 chairs, what are all the different ways he can organize them into equal rows? Draw all the possible arrays.
1x45, 45x1
3x15, 15x1
5x9, 9x5
Which of the following has all prime numbers?
A. 17, 35, 37
B. 13, 29, 52
C. 19, 31, 53
D. 23, 43, 49
C. 19, 31, 53
Tim says a multiple of 15 is 5. Is he correct? Why or why not?
He is incorrect, because 5 is a factor of 15, but multiples of 15 go up (15, 30, 45, ...).
Kevin invites 23 friends to his birthday party. He needs to split up into even groups for a game. Each group needs more than 1 person to play and there needs to be more than 1 group. How many different ways can he organize into groups to play?
Four ways: 3 groups of 8, 8 groups of 3, 4 groups of 6, and 6 groups of 4
(3x8, 8x3, 4x6, 6x4)
They cannot do 1x24 or 24x1 because each group needs more than 1 person to play and they need more than 1 group.
Ms. Beal is rearranging the desks in her room. If she has 18 desks, how many different arrays can she arrange them? Draw each array.
Check drawings.
1x18, 18x1
2x9, 9x2
3x6, 6x3
Collins has 50 picture frames to hang on her wall. How many different ways can she organize them into equal rows on her wall?
She can arrange them in 6 different ways.
1x50, 50x1
2x25, 25x2
5x10, 10x5
Explain the difference between a factor and a factor pair.
A factor is a singular number that can be multiplied by another factor to equal a certain number. A factor pair is two numbers that, when multiplied together, equal a certain number.
Write 2 multiples of 10 that have a factor of 3.
Possible answers: 30, 60, 90, 120...
A pet store has 42 fish bowls, 48 boxes of kitty litter, and 88 bags of dog food. The fish bowl display needs at least 3 rows with at least 3 fish bowls in each row. What are all the different ways the display can be arranged?
3x14, 6x7, 7x6, or 14x3.
You cannot do 1x42, 42x1, 2x21, or 21x2 because there needs to be at least 3 rows with 3 fish bowls in each row.
What this number in expanded form and in its number name: 26,303
20,000 + 6,000 + 300 + 3
Twenty thousand six thousand, three hundred three