Factors are what we multiply to get a number. Factoring is taking a number apart.
The FACTORY (factor) was set up to tear numbers apart.
But being a factory you will notice that it is always being maintained and repaired and there are ladders all over the factory.
The factory (factors) used a lot of ladders.
We take numbers apart using ladders
Factors are NOT fractions
So 2 and 6 are factors of 12. But ½ and 24 ARE NOT a factor of 12.