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"a single factor" is a correct and usable phrase in written English.
You can use it when you want to refer to an individual element or component that affects something. For example: "Success in this endeavor depends upon a single factor: focus."
Exact(56)
It comes down largely to a single factor: cost.
The percentage plans are, by contrast, based on a single factor.
"The whole discussion gets down to a single factor," he explained.
And its generational parameters are determined by a single factor: birthdate.
That placement is decided by a single factor: their three-digit gaokao score.
The declines for the class of 2007 were not caused by a single factor, College Board officials said.
"The important thing we are saying is that it is not just a single factor that was the issue here.
Similar(4)
The study had a single-factor between participants design.
The optimum operation conditions were investigated via a single-factor experiment.
A single-factor analytic approach was adopted to determine the optimal concentration of methanol and SVH.
The experiment had a single-factor (vection: backward vs. forward) between-participants design.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com