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SASMO 2019 Grade 10 Question 16

SASMO · SASMO 2019 Grade 10

Question 16

A number $A=20192019\ldots2019$ is formed by writing $2019$ next to itself $n$ times. What is the least positive $n$ for which $A$ is divisible by $9$?

Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.