Factor Calculator

Step-by-Step Guide to Finding Factors

Here is a detailed guide to finding all the factors of a given number:

1. Start with the number you want to find factors for. Let's call this number n. For example, if we want to find the factors of 12, n = 12.
2. The first factor is always 1. So start with 1 as the first factor.
3. Check if n is divisible by 1. To check, divide n by the current factor. If the remainder is 0, then the current factor divides n completely.
4. If divisible, the current factor is a factor. If n is divisible by the current factor with no remainder, then that factor is a factor of n. Add it to the list of factors.
5. Also add n divided by the current factor. If a factor f divides n, then n / f is also a factor of n. Add this to the list as well.
6. Increment the factor by 1. Increase the current factor by 1, and repeat the steps above. Keep checking if n is divisible by the new factor.
7. Stop when factor exceeds square root of n. Keep incrementing the factor and checking divisibility until the factor is greater than the square root of n. At this point, you've found all the factors.

By following these steps and checking every number from 1 up to the square root of n, you can find all the factors for any given number n.