Competition problem — Number theory

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Number theory Difficulty 3.8 AMC 10/12 Find the answer United States

Problem:
A product of five primes is of the form $ABC,ABC$ , where $A$ , $B$ , and $C$ represent digits. If one of the primes is $491$ , find the product $ABC,ABC$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Solution:
$491 \cdot 1001 \cdot 2 = 982,982$ .

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.