How factors are determined
Factors are numbers that divide an integer completely with no remainder. For any number N, the factors always occur in pairs: if A is a factor of N, then B = N / A is also a factor.
Divisibility Search Boundary
To find all divisors of a number efficiently, it is only necessary to check divisibility up to the square root of the number. Any factor above the square root must pair with a factor below the square root. This limit dramatically speeds up calculations for larger integers.