Q. A teacher divides 36 students into equal groups for a scavenger hunt. Each group should have at least 4 students, but no more than 8. What are the group's possible sizes?
To find the possible sizes of the groups, we need to find the factors of 36 that are between 4 and 8 (inclusive). Let's list the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Now, let's check which of these factors are between 4 and 8:
4, 6
From this, we can see that the possible group sizes are 4 and 6.
To find the possible group sizes, we need to determine the factors of 36 that are between 4 and 8 (inclusive).
Step 1: Find the factors of 36:
The factors of 36 are:
1, 2, 3, 4, 6, 9, 12, 18, 36
Step 2: Identify the factors between 4 and 8:
The factors between 4 and 8 are:
4, 6
Therefore, the possible group sizes are 4 and 6.
Factors of 36:
4 by 9
6 by 6