The cube of a positive integer is divided by 9. What can be the possible
remainders?
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1
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There are infinitely many natural numbers. so there have to be infinitely many numbers which are cubes of the natural numbers . 1,2,3,4,5,6,7,8. so the sum of all the possible remainders is = 1+2+3+4+5+6+7+8= 36 .
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