In how many ways can 1000 be written as sum of 2 or more consecutive natural numbers?

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Solution

The correct option is C 3
Shortcut - Number of ways of writing a number as a sum of 2 or more consecutive natural numbers = number of odd factors of that number-1
$1000 = 2^{3} \times 5^{3}$ . Number of odd factors = 4

Answer = 4-1 = 3

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