Prime Factorization
List the factor pairs for the number 24
1,2,3,4,6,8,12,24
Find the greatest common factor of 8 and 36
4
Find the Least Common Multiple of 6 and 10
30
A number where the only factors are one and itself
prime number
The coach of a baseball team separates the players into groups for drills. Each group has the same number of players. Is the total number of players on the baseball team prime or composite?
Composite: it can be divided by more numbers than one and itself
Write the prime factorization of the number 88
2 x 2 x 2 x 11 OR 23 x 11
Write the greatest common factor for 14 and 84
14
What is the least common multiple of 9 and 12
36
A number written as a product of its prime numbers
prime factorization
A teacher divides 36 students into equal groups for a scavenger hunt. Each group should have at least 4 students but no more than 8 students. What are the possible group sizes?
you could have groups of 4 or 6 students
Find the factor pairs of 54
1,2, 3, 6, 9, 18, 27,54
What is the Greatest Common Factor of 40 and 63
1
What is the least common multiple of 24 and 90
360
the greatest factor that is shared by two or more numbers
greatest common factor
A florist is making identical bouquets using 72 red roses, 60 pink roses, and 48 yellow roses. What is the greatest number of bouquets that the fl orist can make if no roses are left over? How many of each color are in each bouquet?
12 flowers in each bouquet
6 red, 5 pink and 4 yellow
Write the Prime Factorization of 65
5 x 13
What is the greatest common factor of 45,75 and 120
15
What is the least common multiple of 2,5 and 8
40
the lowest multiple that is shared between two numbers
A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller. When will the station first give away all three prizes to one caller?
the 300th caller
Find the number represented by this prime factorization
22 x 32 x 5
180
What is the greatest common factor of 35, 56 and 63
7
What is the least common multiple of 6, 10 and 12
60
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
multiples
You are making balloon arrangements for a birthday party. There are 16 white balloons and 24 red balloons. Each arrangement must be identical. What is the greatest number of arrangements you can make using every balloon?
8 arrangements