
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
Consider a three-digit number $ABC$ where $A$, $B$, and $C$ are its digits. The digits of the number are reversed to form another three-digit number $CBA$. Compute the difference between the greater and the lesser of the two numbers, and determine what prime number must necessarily be a factor of this difference given that $A \neq C$.

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