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The phrase "a conversion factor of" is correct and usable in written English.
It can be used when discussing the relationship between two different units of measurement, particularly in mathematical or scientific contexts.
Example: "To convert inches to centimeters, you need a conversion factor of 2.54."
Alternatives: "a conversion ratio of" or "a conversion multiplier of".
Exact(60)
The formula being employed here requires one to take a woman's weight in pounds divided by her height in inches squared, then multiply the result by a conversion factor of 703.
To calculate carbon loss from forest becoming nonforest, we used a conversion factor of 0.8.
The calibration experiment provided a conversion factor of 31P signal into μ.
For natural gas, a conversion factor of 52 kg CO 2/GJ is derived.
A conversion factor of 0.295 was used to convert ethylene produced to N fixed.
An RF frequency discriminator converts the frequency to its proportional voltage with a conversion factor of K FVC.
A conversion factor of 385 mgDW L−1 per OD unit was determined following (Nerenberg et al. 2006).
Total protein content was determined by the Kjeldahl method using a conversion factor of 4.38 (Guo et al. 2007).
Crude protein determination involved the use of routine Kjeldhal nitrogen assay method with a conversion factor of 6.25 (AOAC 1990).
The Cmic were determined by fumigation extraction method with a conversion factor of 2.22 (Wu et al. 1990).
For instance, measurements taken at a 1-m distance were adjusted by a conversion factor of 2.57.
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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