
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 $C$ represent digits, and $ABC$ is formed as $ABC = 100A + 10B + C$. When reversed, the digits form the number $CBA = 100C + 10B + A$. Find a prime number that must be a factor of the difference $ABC - CBA$ if $A\neq C$.

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