GCF
LCM
Word Problems
Prime Factorization
Vocabulary
Wild Card
100

Find the GCF of 82 and 17. 

GCF = 1

100

Find the LCM of 16 and 4.

LCM = 16

100

Mrs. Davis has 24 red markers and 18 blue markers. She wants to pack them into identical art kits for her students so that every kit has the exact same number of red markers and blue markers with none left over. What is the largest number of art kits she can make?

Mrs. Davis can make 6 art kits. 

100

Write the prime factorization of 72

2 x 2 x 2 x 3 x 3

100

How do you find the area of a rectangle?

Multiple the length x width. 

area= L x W

100

Evaluate.  848 div53 

16

200

Find the GCF of 72 and 40.

GCF = 8

200

Find the LCM of 5 and 9.

LCM = 45

200

There are 100 seniors and 80 juniors in the Homecoming Parade. The students split up into groups of equal size, to fit on the parade floats. They want the most students possible on each float, with just juniors or just seniors on each float. How many students should be on each float?

There will be 20 students on each float. 

200

Write the prime factorization of 84

2 x 2 x 3 x 7
200

Which number is the dividend, divisor and quotient in the following equation:  144 div36 =4 

dividend = 166

divisor = 36

quotient = 4

200

In the Sweet Sprouts Farm U-Pick Berry Patch, Brenda picks 3.21 pounds of strawberries and 2.76 pounds of blueberries. How many total pounds of berries does Brenda pick?

5.97 pounds

300

Find the GCF of 42 and 27.

GCF = 3

300

Find the LCM of 9 and 12. 

LCM = 36

300

Mr. Smith waters one of his plants every 10 days and another plant every 14 days. If he waters both plants today, when is the next time both plants will be watered on the same day?

In 70 days both plants will be watered. 

300

Write the prime factorization of 125

5 x 5 x 5

300

How do you find the perimeter of a rectangle?

Add up all 4 side lengths.

300

Diego is buying a pumpkin that weighs 12.8 pounds. Pumpkins cost $0.60 per pound. How much will Diego pay for his pumpkin?

$7.68

400

Find the GCF of 24 and 84. 

GCF = 12

400

Find the LCM of 8 and 18. 

LCM = 72

400

Mary and Nancy work at a calculator producing factory. It is their job to inspect the calculators to make sure that they are working, before the calculators are shipped to stores. If Mary inspects every twelfth calculator and Nancy inspects every ninth calculator, which calculator will be the first that they both inspect?

They will both inspect the 36th calculator. 
400

Write the prime factorization of 56

2 x 2 x 2 x 7

400

What are factors?

Factors are also the whole numbers you multiply together to get a target number. 

Example: 2 x 3 = 6; 2 and 3 are factors of 6. 

400

Evaluate.  125.9 times 0.12 

15.108
500

Find the GCF of 78, 18, and 48

GCF = 6

500

Find the LCM of 10, 4 and 12.

LCM = 60

500

A choir director at your school wants to divide the choir into smaller groups. There are 24 sopranos, 60 altos, and 36 tenors. Each group will have the same number of each type of voice. What is the largest number of groups that can be formed?

12 groups

500

Write the prime factorization of 280

2 x 2 x 2 x 5 x 7
500

What are multiples?

A multiple of a number is what you get when you multiply that number by a whole number.

It can also be called skip counting. 

500

Evaluate. 0.801 div 0.9