AMC 10 Step by Step
2014 AMC 10AProblem 20P16-20~3 minPrint

The product (8)(8888)(8)(888\dots8) , where the second factor has kk digits, is an integer whose digits have a sum of 10001000 . What is kk ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.