# 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.

×