Question

To arrange the seating at tables. Ms. Ramirez likes to have the

same number of party guests seated at each table.
For each number of guests below, use factors to determine
all the ways Ms. Ramirez can arrange tables and chairs to
have the same number of guests at each table. You do not
have to include the factor 1 and the number itself.
1. 24 guests

Answer 1

(tables, chairs) = {(2, 12), (3, 8), (4, 6), (6, 4), (8, 3), (12, 2)}

Explanation:

Divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Each of these (except 1 and 24) can be a number of tables:

2 tables, 12 chairs each

3 tables, 8 chairs each

4 tables, 6 chairs each

6 tables, 4 chairs each

8 tables, 3 chairs each

12 tables, 2 chairs each