
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 to express the integer $n$ as a product \[n = g_1 \cdot g_2 \cdots g_m,\] where $m \geq 1$, each $g_i$ is an integer greater than $1$, and the sequence of factors' order is important. Find $E(72)$ where $72$ should be expressed using at least one occurrence of the number $4$ in its factors.
A) 5
B) 7
C) 9
D) 11

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