
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 \( p_{1}, p_{2}, p_{3}, \ldots, p_{n} \) be distinct prime numbers. How many divisors does the number \( q = p_{1} p_{2} p_{3} \ldots p_{n} \) have, including 1 and \( q \)?

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