
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
Each cell of a \(3 \times 3\) square contains a natural number. All the numbers are distinct and not equal to one. It is known that the number in each cell is a divisor of the product of all the numbers in the cells adjacent to it (by side). Find the maximum possible number of prime numbers among those written in the cells.

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