
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 $ABC$ be a three-digit number where $A$, $B$, and $C$ are its digits. The digits of $ABC$ are reversed to form a second three-digit number $CBA$. The lesser of the two three-digit numbers is subtracted from the greater, and the result is multiplied by 3. What prime number must be a factor of this product if $A \neq C$?

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