
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A rectangular array of chairs is an arrangement of the chairs in rows and columns such that each row contains the same number of chairs as every other row, and each column contains the same number of chairs as every other column. With the condition that there must be at least two chairs in every row and column, and all the chairs in the room must be included, how many arrays are possible in a classroom containing $48$ chairs?

Present the answer in LaTex format: \boxed{Your answer}
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