Step-by-step explanation:
In this problem, we need to arrange 150 chairs in rows for a school play. You want each row to have the same number of chairs.
We can find the prime factorization of 150 as follows :
150 = 2, 3, 5, 5
150 is not a perfect square. 144 is a perfect square and 12² = 144. So, there are 12 possible arrangements.
