Vocabulary
a number multiplied by another number to find a product
Factor
6 is a factor of 12
true
2x6=12
3
Prime
The only two factors of 3 are 1 and itself
Miles has a train collection with 36 engines, 72 boxcars, and 18 cabooses. He wants to arrange the train cars in equal rows with only one type of train car in each row. How many can he put in each row?
1, 2, 3, or 6
The factors of 24
1, 2, 3, 4, 6, 8, 12, 24
a number that is a factor of two or more numbers
common factor
The number 6 is a multiple of 12.
False
6 is a factor of 12 because 6 x 2 is 12 but it is not a multiple of 12 because you cannot multiply w whole number by 12 to get 6. When you skip count by 12, you will not say 6.
20
Composite
20 has more than two factors
1x20
2x10
4x5
The library is designing a book display with 20 fiction books, 28 biographies, and 40 non-fiction books. Each shelf will have only one type of book on it. How many books can be on each shelf?
1, 2, and 4
The factors of 12
1, 2, 3, 4, 6, 12
a number that is a multiple of two or more numbers
common multiple
Jose wrote the number 36. If his rule is add 6, the fourth number in Jose’s pattern is 54.
True
36, 42, 48, 54
37
Prime
The only two factors of 37 are 1 and itself
A store in Roger’s neighborhood sells boxes of pencils that have 6 pencils in each box. Roger bought several boxes of pencils at the store. Which could be the number of pencils he bought?
Any multiple of 6
6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108, etc.
The factors of 16
1, 2, 4, 8, 16
a number that has exactly two factors, one and itself
prime number
10 is a factor of 5
False
10 x no whole number can be 5, but 5 is a factor of 10
73
Prime
The only two factors of 73 are 1 and itself
Marta uses 1 piece of paper and 1 piece of ribbon to make kites. The paper comes in packs of 3 pieces and the ribbon comes in packs of 4 pieces. What is the least number of kites Marta can make without any supplies left over?
12 kites
The least common multiple of 3 and 4 is 12
The factors of 50
1, 2, 5, 10, 25, 50
a number that has more than two factors
composite number
20 is a multiple of 2
True
You can multiply 2 x 10 to get the multiple 20
24
Composite
24 has more than two factors
1x24
2x12
3x8
4x6
Josh works in a balloon store. He will put 45 balloons into bunches. He must use the same number of balloons in each bunch. The number of balloons in each bunch must be greater than 1 and less than 10. How many balloons could be in each bunch?
3, 5, or 9 balloons
The factors of 45 are 1, 3, 5, 9, 15, and 45. The only factors greater than 1 and less than 10 are 3, 5, and 9
The factors of 3
1, 3 (prime)