Tyra wants to arrange 32 tiles in equal rows and colums. how many ways could she organize the tiles? list the factors

First, we will get the factors of 32:

32 = 1x32 = 2x16 = 4x8

Now, we will find the arrangements of the tiles

Note: we will exclude that she can can form one column including all 32 tiles or 32 columns with 1 tiles in each as these are the trivial answers.

To find the possibilities, we will use the factors 2, 16, 4 and 8.

Tyra can form:

2 column with 16 tiles in each

16 columns with 2 tiles in each

4 column with 8 tiles in each

8 columns with 4 tiles in each