SOLUTION: a hundred and twenty digit number is formed by writing the first x natural numbers in front of each other as 12345678910111213... find the remainder when this number is divided by

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Question 1139425: a hundred and twenty digit number is formed by writing the first x natural numbers in front of each other as 12345678910111213... find the remainder when this number is divided by 8
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Answer by math_helper(2461) About Me  (Show Source):
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Answer:  6





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12345678910  are the first 11 digits

11121314...64  are the next 108 digits (54 two-digit numbers)

6            is the final digit 





So the number ends with  646  which has remainder 6 when divided by 8.



What happened to the first 117 digits, you may ask?  Since 8 divides into 1000 evenly, all those digits can be ignored.