Section B: Practice Problems Find Factor Pairs and Multiples

Section Summary


In this section, we used what we learned about factors, multiples, and prime and composite numbers between 1–100 to play games and solve problems.

We learned that numbers can share factors and multiples. For example:

  • The number 2 is a factor of 6 and and also a factor of 8.

  • The number 24 is a multiple 6 and also a multiple of 8.

Knowing about factors and multiples helped us answer questions such as:

  • “Can we put 24 chairs in 6 equal rows? What about 7 equal rows or 8 equal rows?”

  • “If there are 20 lockers in a row and a student touches every fourth locker, how many lockers would they touch? Which locker numbers would they touch?”

Problem 1 (Lesson 5)

Pens are sold in packages of 5 and also in packages of 6.

  1. Jada wants to buy 60 pens for her class. Which packages of pens and how many should Jada buy if she doesn’t want any extras? Explain or show your reasoning.

  2. Han wants to buy 55 pens for his class. Which packages of pens and how many should Han buy? Explain or show your reasoning.

Problem 2 (Lesson 6)

  1. Find the factor pairs of 36.

  2. How many factors does 36 have?

  3. List the factors of 15.

Problem 3 (Lesson 7)

Select all numbers that are multiples of 8.

  1. 16

  2. 28

  3. 40

  4. 54

  5. 66

  6. 72

  7. 84

  8. 96

Problem 4 (Exploration)

  1. List the multiples of 2 up through 30.

  2. List the multiples of 3 up through 30.

  3. What do you notice about the numbers in the two lists?

Problem 5 (Exploration)

Which number(s) from 1 to 100 have the largest number of factors? Explain or show how you know.