Library / /360 of 387

, 1999

Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

Let $N$ be the smallest positive integer whose digits have a product of 2000. The sum of the digits of $N$ is

(A) $21$ (B) $23$ (C) $25$ (D) $27$ (E) $29$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.