
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 \( E(n) \) denote the number of ways of expressing the integer \( n \) as a product \[ n = g_1 \cdot g_2 \cdots g_k, \] where \( k \ge 1 \), \( g_i \) are integers strictly greater than \( 1 \), and the sequence order of the factors matters. Calculate \( E(80) \).
A) 32
B) 36
C) 38
D) 42
E) 44

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