Stoichiometery is the use of math in chemistry to determine numerical values for chemical equations, using molecular formulas and molar masses.The stoichiometric ratio for an added reactant (reagent) is the amount required to fully complete the reaction with another reactant, such that there is no deficit or surplus.
Assuming you are talking about stoichiometery a conversion factor is often a number with two units. For example a conversion factor could be Miles per hour (Miles/hour). If you had miles and needed to convert to hours you would multiply the miles by Hours/miles so that the miles would be canceled out (miles/miles = 1). Then your units left would be hours. Or vice versa. There are other factors like this in chemistry like grams/mol Mol/liter etc. To put it shortly the conversion factor denominator is always paired with the numerator.
The unit that is used in the denominator is the one to cancels the unit that appears in a numerator.