Library / /160 of 413

, 2005

Number theory Difficulty 1.0 Junior Find the answer Canada

If $N = 2^5 \times 3^2 \times 7 \times \Box$ and $100$ divides evenly into $N$ , which of the following numbers could be placed in the box?

(A) $5$ (B) $20$ (C) $75$ (D) $36$ (E) $120$

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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.