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The phrase "a fifth factor" is correct and usable in written English.
It can be used when discussing multiple elements or components in a list, particularly when introducing an additional item beyond the previously mentioned ones.
Example: "In addition to the four main factors, we must also consider a fifth factor that could influence the outcome."
Alternatives: "an additional factor" or "a further element".
Exact(15)
The second is obtained by the first adding a fifth factor, rock infiltration.
André Borschberg's requires a fifth factor to be in perfect equilibrium as well.
A fifth factor makes almost no difference to our estimates.
Significant findings were also observed for a fifth factor, 'Practice-Focussed Research'.
These four points would already make the problem of determining Pythagoras' philosophical beliefs more difficult than determining those of almost any other ancient philosopher, but a fifth factor complicates matters even more.
Only two items measuring the satisfaction with the accessibility/convenience of the screening services loaded meaningfully to a fifth factor.
Similar(45)
A third factor is style.
A second factor is housing.
A second factor may be dehydration.
A second factor lies with central banks.
A second factor is cost.
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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