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SASMO 2019 Grade 9 Question 16

SASMO · SASMO 2019 Grade 9

Question 16

In mathematics, the product of the first n positive integers is written $n!=n(n-1)\cdots1$. For example, $2!=2\times1$ and $7!=7\times6\times5\times4\times3\times2\times1$. What is the remainder when $2018!+2018$ is divided by 2019?

Answer format: an integer without units. Leading zeros are optional; the source uses four digit boxes.