Factors & Multiples
Prime Factorization
GCF & LCM
Word Problems
100
List the first four multiples of 10.
10, 20, 30, 40
100
Give an example of a prime number.
Examples include: 2, 3, 5, 7, 11, ...
(any number that has exactly two factors: 1 and itself)
100
Find the Greatest Common Factor of 12 and 8.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 8: 1, 2, 4, 8
4 is the Greatest Common Factor!
100
Here is the work Mia did to determine the greatest common factor of 4 and 12.
Explain why she is incorrect. What is the correct answer?
Mia is incorrect because 1 and 4 are factors of 4.
This means that 4 is the GCF.
200
List the first five multiples of 6.
6, 12, 18, 24, 30
200
Find the prime factorization of 30.
2 x 3 x 5
200
Find the Least Common Multiple of 6 and 10.
Multiples of 6: 6, 12, 18, 24, 30, ...
Multiples of 10: 10, 20, 30, ...
30 is the Least Common Multiple!
200
Here is the work Jayden did to determine the least common multiple of 3 and 9.
Explain why he is incorrect. What is the correct answer?
Jayden is incorrect because the least common multiple is the first shared multiple in both lists.
9 is a multiple of 9 (9x1).
The LCM is 9.
300
List all the factors of 24.
1, 2, 3, 4, 6, 8, 12, 24
300
Find the prime factorization of 63.
3 x 3 x 7
300
Lin is putting stickers on some of the lockers in her middle school’s hallway. She puts a skateboard sticker on every 4th locker, and a soccer sticker on every 5th locker.
What locker will be the first to get both stickers?
Skateboard stickers: 4, 8, 12, 16, 20, ...
Soccer Stickers: 5, 10, 15, 20, ...
The first locker to get both will be locker 20
300
Two runners start a race together. The first runner takes a water break every 10 minutes. The second runner takes a water break every 8 minutes.
After how many minutes will they both take a water break at the same time?
After 40 minutes they will both take a water break
400
List all the factors of 56.
1, 2, 4, 7, 8, 14, 28, 56
400
Find the prime factorization of 80.
2 x 2 x 2 x 2 x 5
400
During a school chorus concert, students from elementary and middle schools will be grouped together for their performances. There are 32 elementary students and 40 middle school students. The director wants identical groups for the performances, with students from both schools in each group.
What is the largest number of groups that can be formed?
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
The largest number of groups that can be formed is 8
400
Ms. Emig is making bags of candy with chocolates and mints. She wants the bags to be identical (the same). If she has 20 chocolates and 30 mints, what is the largest number of bags she can make?
10 bags