Question 1177435: what does the order of a factor in an algebraic expression mean Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52894) (Show Source):
To my knowledge, "order of a factor" is not standard mathematical vocabulary; a quick attempt at an internet search did not reveal anything useful.
Without any context in which the phrase is used, I would suspect that the order of a factor is the number of times the factor is used in the expression -- i.e., it is the exponent on the factor.
For example, in the expression
The order of the factor (x) is 1, the order of the factor (x-2)^2 is 2, and the order of the factor (x-3)^4 is 4.
If this doesn't answer your question, post the question again, giving us some context of where you found the phrase "order of a factor".