Sum to 1000

Algebra Level 3

The number \(1000\) can be written in several ways as a sum of one or more consecutive positive integers, for instance, \(1000=1000\) (one summand) or \(1000=198+199+200+201+202\) (five summands). Find the largest possible number of summands in a representation of \(1000\) as a sum of consecutive positive integers.

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