Multiples
Factors
LCM (Least Common Multiple)
GCF (Greatest Common Factor)
Word Problems
100

The first three multiples of 2

What are 2, 4, 6?

100

All the factors of 6

What are 1, 2, 3, 6?

100

LCM of 2 and 4

What is 4?

100

GCF of 4 and 6

What is 2?

100

Sara has 12 strawberries. She wants to put them into equal groups. Name one way she can group them.

What is 2 groups of 6, 3 groups of 4, 4 groups of 3, or 6 groups of 2?

200

True or false: 15 is a multiple of 3

What is true? (3 x 5 = 15)

200

True or false: 4 is a factor of 15

What is false? (4 does not divide evenly into 15)

200

LCM of 3 and 5

What is 15?

200

GCF of 10 and 15

What is 5?

200

A train comes every 4 minutes. A bus comes every 6 minutes. If both arrive at 10:00 AM, what is the next time they will arrive together? (Hint: Find the LCM)

What is 10:12 AM?

300

Name two multiples of 7

What are 7, 14, 21, 28, 35... (any two)

300

Name two factors of 24

What are 1, 2, 3, 4, 6, 8, 12, 24 (any two)

300

LCM of 4 and 6

What is 12?

300

GCF of 16 and 24

What is 8?

300

John has 12 red pens and 18 blue pens. He wants to make gift bags with the same number of red pens and the same number of blue pens in each bag. What is the greatest number of bags he can make? (Hint: Find the GCF)

What is 6 bags?

400

Is 24 a multiple of 5? Explain why or why not

What is no? Because 5 x 4 = 20 and 5 x 5 = 25. (No whole number multiplied by 5 equals 24)

400

Is 9 a factor of 27? Explain

What is yes? Because 9 x 3 = 27

400

LCM of 6 and 9

What is 18?

400

GCF of 14 and 21

What is 7?

400

Two numbers have a GCF of 3 and an LCM of 18. One number is 6. What is the other number?

What is 9? (GCF of 6 and 9 is 3; LCM of 6 and 9 is 18)

500

Find the least common multiple (LCM) of 2 and 3

What is 6?

500

Find the greatest common factor (GCF) of 8 and 12

What is 4?

500

LCM of 4, 5, and 10

What is 20?

500

GCF of 18 and 27

What is 9?

500

A teacher has 24 students. She wants to divide them into groups for a project. The number of groups must be a factor of 24, and each group must have more than 3 students but less than 12. How many different ways can she group the students?

What are 3 ways? (4 groups of 6, 6 groups of 4, 8 groups of 3 – but 3 students per group is not more than 3, so only 4 groups of 6 and 6 groups of 4 = 2 ways)

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