
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
Let \( M = 57^4 + 4 \cdot 57^3 + 6 \cdot 57^2 + 4 \cdot 57 + 1 \). Calculate the number of positive integers that are factors of \( M \).

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