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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Jeroen writes a list of $2019$ consecutive integers. The sum of his integers is $2019$ . What is the product of all the integers in Jeroen's list?

(A) $2019^2$ (B) $\frac{2019 \times 2020}{2}$ (C) $2^{2019}$ (D) $2019$ (E) $0$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.