The formula for dilution factor is as follows: dilution factor or DF equals Vf or final volume over Vi which is the initial volume. The final volume equals diluent plus aliquot. An aliquot is a sub-volume calculation of the original specimen.
If there is a need to figure out the volume of a solution when you have the dilution value make sure to figure out the aliquot volume. The aliquot will be equal to one of the following, the final volume times a concentration factor or the final volume divided by the dilution factor.
To find a serial dilution use the formula DF or final dilution factor equals DF1 times DF2 times DF3 and so on. When typically figuring out this formula there will be a three-step process that makes it easier to understand.
The formula for a more concentrated solution when using molarity is M1V1 equals M2V2. This means that the initial concentration or M1 times the initial volume or V1 will equal final concentration or M2 times the final volume or V2. Something to remember is that the initial and final concentration or M1 and M2 must have the same units in the end, the same goes for volume.