The principal of Valley Elementary School wants to divide each of the three fourth-grade classes into small same-size groups with at least 2 students in each. If the classes have 18, 24, and 36 students, respectively, what size groups are possible?
2, 3, and 6 are factors of all three numbers.
The answer is no because 3 can't go into 2.
sorry that was the wrong problem
To find the possible group sizes for each fourth-grade class, we need to determine the factors (or divisors) of the total number of students in each class.
First, let's find the factors of 18. The factors of 18 are 1, 2, 3, 6, 9, and 18. However, we need group sizes with at least 2 students, so we can eliminate 1. Therefore, the possible group sizes for the class with 18 students are 2, 3, 6, 9, and 18.
Next, let's find the factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Again, we can eliminate 1, so the possible group sizes for the class with 24 students are 2, 3, 4, 6, 8, 12, and 24.
Finally, let's find the factors of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. After eliminating 1, the possible group sizes for the class with 36 students are 2, 3, 4, 6, 9, 12, 18, and 36.
In summary, the possible group sizes for the three fourth-grade classes are as follows:
- Class with 18 students: 2, 3, 6, 9, 18
- Class with 24 students: 2, 3, 4, 6, 8, 12, 24
- Class with 36 students: 2, 3, 4, 6, 9, 12, 18, 36