Finding the Factors of 18

Mrs. Hunter displayed a table showing all of the ways her students had arranged their classroom into teams. In the table, Mrs. Hunter defined the leftover students as the remainder. Mrs. Hunter asked the students if they noticed any patterns in the table.


Richard and Rosa studied the table. They noticed that there were four ways to make teams that did not have any remainder.
  1. Look carefully at the table. What are the four ways that Richard and Rosa found to make teams without remainders?
Mrs. Hunter circled the number sentences 9 × 2 = 18, 6 × 3 = 18, 3 × 6 = 18, and 2 × 9 = 18 on the table. She explained that 9, 2, 3, and 6 are factors of 18. Factors are the numbers you multiply together to get a product. A factor of a number can also divide a number into equal-size groups without leftovers.
  1. Mrs. Hunter listed 2, 3, 6, and 9 as factors of 18. There are two more factors of 18 that she did not list. What are the other two factors of 18? Explain your answer.

Use the Class Teams Table in the Student Activity Book to find different ways to group the students in your class into equal teams. When you finish, see if you can find all of the factors for the number of students in your class.