## Consecutive Sums

Let \(f(N)\) denote the number of ways to express \(N\)
as a sum of two or more consecutive positive integers.
For example \(f(15)=3\) because \(15\) can be expressed as a
sum of consecutive positive integer in \(3\) different ways:

\(15 = 7+8 = 4+5+6 = 1+2+3+4+5\)

Part A | Determine \(f(25200)\). | |
---|---|---|

Part B | Determine \(f(100!)\). |