What strategy do you use to find factors?

Answer 1

Assuming you want all factors of a number:

1) Split a number into prime factors.

2) Combine the prime factors in all possible ways.

To get the prime factors, you can systematically try out dividing the number by prime numbers, up to the number's square root (once the square of the Prime number you try out is greater than the original number, you need not continue). For example, to find out prime factors of numbers up to 120, you only need to try dividing by 2, 3, 5, 7.