Prime Factorization
Write the prime factorization for the number 6.
2 x 3
Find the GCF between the numbers 2 and 6.
2
Find the LCM between the numbers 3 and 12.
12
Two buses leave the station at the same time, one leaving every 15 minutes and the other every 20 minutes. When will they next leave together?
60 minutes
A teacher wants to divide 20 pencils and 30 erasers into identical party favors with no supplies left over. What is the largest number of identical party favors she can make?
10 party favors
Write the prime factorization for the number 12.
2 x 2 x 3
Find the GCF between the numbers 15 and 45.
15
Find the LCM between the numbers 10 and 15.
30
Two people are walking around a track, one taking 60 steps per lap and the other taking 80 steps per lap. How many steps will they both have taken when they meet at the starting point again?
240 steps
A tailor has a piece of fabric that is 24 inches long and another piece that is 36 inches long. What is the largest equal-sized strips he can cut from both pieces without any fabric left over?
12 strips
Write the prime factorization for the number 50.
2 x 5 x 5
Find the GCF between the numbers 9 and 15.
3
Find the LCM between the numbers 16 and 20.
80
A lighthouse has two lights, one flashing every 12 seconds and the other every 18 seconds. If they flash together at a certain time, when will they flash together again?
36 seconds
A teacher wants to divide a class of 24 students into equal groups for a project, and another class of 30 students into equal groups. What is the largest number of students that can be in each group?
6 students
Write the prime factorization for the number 220.
2 x 2 x 5 x 11
40
Find the LCM between the numbers 12 and 16.
48
A person attends a yoga class every 3 days and a spinning class every 5 days. If they go to both classes today, how many days will it be until they go to both classes again on the same day?
15 days
A gardener has 18 tomato plants and 27 pepper plants. She wants to plant them in rows with the same number of each type of plant in each row. What is the greatest number of rows she can plant?
9 rows
Write the prime factorization for the number 108.
2 x 2 x 3 x 3 x 3
Find the GCF between the numbers 18 and 81
9
Find the LCM between the numbers 14 and 63.
126
A machine needs its oil changed every 300 miles and its filter replaced every 500 miles. At what mileage will both maintenance tasks need to be done at the same time?
1,500 miles
A baker has 48 chocolate chip cookies and 36 peanut butter cookies. What is the largest number of identical cookie packages she can make with no cookies left over?
12 cookie packages