
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
Determine the total number of different prime numbers that are factors of $M$ if:
\[
\log_3 (\log_5 (\log_7 (\log_{11} M))) = 8
\]
- **A)** 1
- **B)** 2
- **C)** 3
- **D)** 4
- **E)** 11

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