12. (6 points) In the prime factors of 2013, the product of the largest prime factor and the smallest prime factor is



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【Analysis】Writing a composite number as the product of several prime numbers is called decomposing this composite number into prime factors. First, decompose 2013 into prime factors, and then find the product of the largest and smallest prime factors.

【Solution】Solution: Decompose 2013 into prime factors:
$$
\begin{array}{l}
2013=3 \times 11 \times 61, \\
3 \times 61=183 .
\end{array}
$$

Answer: The product of the largest and smallest prime factors is 183.
Therefore, the answer is: 183.
【Comment】This question aims to test the method of decomposing prime factors, and generally, the short division method is better.
