Factor or Multiple?
Is 6 a factor or multiple of 24?
A factor
Is 17 prime or composite?
Prime.
What is the GCF of 8 and 12?
4
Emma has 12 pencils and 18 erasers. She wants to make identical supply bags with nothing left over. What is the greatest number of bags she can make?
6 bags
What is a factor?
A number that divides evenly into another number without a remainder, or numbers that make a given number.
is 45 a factor or multiple of 9?
Multiple
Find the prime factorization of 20. (exponent form, list numbers least to greatest)
22 x 5
Find the GCF of 18 and 24.
6
A teacher has 24 stickers and 36 pencils. She wants to divide them equally into the greatest possible number of prize bags. How many stickers and pencils will be in each bag?
2 stickers and 3 pencils (12 bags)
What is a multiple?
The result of multiplying a number by a whole number.
List all the factors of 18
1,2,3,6,9,18
Use a factor tree to find the prime factorization of 36.
22 X 32 = 36
Find the GCF of 36 and 48.
12
Two ribbons are 30 cm and 45 cm long. They need to be cut into equal-length pieces with no leftovers. What is the greatest possible length of each piece?
15 cm
What is the difference between a prime number and a composite number?
A prime number has exactly 2 positive factors. A composite number has more than 2 positive factors.
List the first 5 multiples of 7.
7, 14, 21, 28, 35
Find the prime factorization of 84.
22 x 3 x 7 = 84
Find the GCF of 24, 36, and 60.
12
A school has 48 basketballs and 72 soccer balls. They want to make the greatest possible number of identical equipment sets. How many sets can they make, and how many of each ball will be in a set?
24 sets, with 2 basketballs and 3 soccer balls in each
What is prime factorization?
Breaking a number down into a product of only prime numbers.
List all the factors of 36 AND list the first five multiples of 6.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
First five multiples of 6: 6, 12, 18, 24, 30
A number has the prime factorization 22 × 32 × 5. What is the number?
180
Find the GCF of 72 and 108 using prime factorization.
36
A florist has 84 roses, 126 tulips, and 168 daisies. She wants to make the greatest possible number of identical bouquets using every flower. How many bouquets can she make, and how many of each flower will be in one bouquet?
42 bouquets, with 2 roses, 3 tulips, and 4 daisies in each
What is the greatest common factor (GCF), and how can you find it?
The largest factor shared by two or more numbers. You can find it by listing factors or using prime factorization.