This is a variation of this question. I want to find the number of factors for a given large integer that I already know to be a power of 2.
Given that the number is a power of 2, does that help by eliminating most scenarios e.g.
- factors cannot be odd.
- at least one number of a factor pair has to be a power of 2 itself.
- What other properties does the power series of 2 have that I can use to find factors more efficiently?
- How can I represent the same in the form of an equation or function?