Used and loved by millions
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
by this factor
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "by this factor" is correct and usable in written English.
It can be used when discussing the degree or extent to which something is influenced or changed by a specific variable or element. Example: "The results of the experiment were improved by this factor, leading to more accurate conclusions."
✓ Grammatically correct
Science
Academia
News & Media
Alternative expressions(4)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
multiply projected FLOPS by this factor.
They differ only by this factor c, which is a constant so it doesn't matter.
Academia
We assumed that high incidence of maternal death because of eclampsia is caused by this factor.
Increased depressive symptoms in the adolescents with AS were also predicted by this factor.
Science
They were in the same class at school, and their achievement ought to have been affected by this factor.
News & Media
The Court, it seems to me, brushes by this factor in order to resolve an issue of profound consequence that otherwise would not be here.
Academia
Multiplying the number of cycles by this factor and dividing by 2 (to account for the distance to the object and back) we calculate the actual distance.
Academia
To get the particle time you've got to take the time according to you and me and multiply it by this factor.
Academia
And the time shifting property says, if I have a time function with a Fourier transform x of omega, if I shift that time function in time, then that corresponds to multiplying the Fourier transform by this factor.
When the Digisonde scale heights are adjusted by this factor, the reconstructed topside profiles are close to those provided by TSM.
Science
The feeder link data rate will thus scale down by this factor.
Expert writing Tips
Best practice
When using "by this factor", ensure that the factor being referenced is clearly defined and understood by the reader to avoid ambiguity. For instance, specify what the factor represents before stating that something is affected by it.
Common error
Avoid using "by this factor" without a clear antecedent. Readers should immediately understand what "this factor" refers to. Without proper context, the phrase becomes vague and confusing.
Source & Trust
86%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "by this factor" functions as a prepositional phrase that modifies a verb or noun, indicating the degree or extent to which something is influenced or changed. As Ludwig AI confirms, it is grammatically correct and widely used.
Frequent in
Science
60%
Academia
23%
News & Media
8%
Less common in
Formal & Business
6%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
In summary, "by this factor" is a grammatically correct and very common phrase used to specify the degree to which something is influenced or modified. As shown by Ludwig, its usage spans scientific, academic, and news contexts, generally maintaining a neutral to formal tone. To ensure clarity, always clearly define the factor being referenced. Alternative phrases like "by this amount" or "to this degree" can be used depending on the desired level of specificity. Be aware that while accepted, Ludwig AI flags that unclear reference to the "factor" may cause confusion. Hence, always clearly specify the factor you are talking about.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
multiplied by this amount
Changes the noun factor to amount, focusing on the numerical value rather than the general concept of a factor.
scaled by this proportion
Replaces "factor" with "proportion", highlighting the relative size or extent of the adjustment.
influenced by this variable
Substitutes "factor" with "variable", emphasizing the role of something that can change or be changed.
affected by this element
Replaces "factor" with "element", focusing on a basic or essential part that influences the outcome.
determined by this component
Substitutes "factor" with "component", highlighting the role of a part of a larger whole in defining the result.
dependent on this aspect
Changes the phrasing to emphasize the reliance on a particular aspect rather than a factor.
contingent upon this consideration
Replaces "factor" with "consideration", focusing on something that needs to be taken into account.
governed by this principle
Substitutes "factor" with "principle", highlighting the fundamental rule that influences the outcome.
modified by this coefficient
Replaces "factor" with "coefficient", which is more specific to mathematical contexts involving scaling.
attributable to this cause
Shifts the focus to the cause or reason behind the change or effect, rather than just a factor.
FAQs
How can I use "by this factor" in a sentence?
You can use "by this factor" to indicate the extent to which something is influenced or changed. For example, "The projected costs increased "by this factor" due to inflation."
What's a simple substitute for "by this factor"?
A simpler substitute could be "by this amount" or "to this degree", depending on the context. For example, instead of "The speed was reduced "by this factor"", you could say "The speed was reduced "by this amount"".
Is "by this factor" formal or informal?
"By this factor" is generally considered neutral to formal and suitable for academic, scientific, or professional writing. It's less common in informal conversation.
How does "by this factor" compare to "because of this"?
"By this factor" specifies the degree or extent of influence, while "because of this" indicates causation. "The increase was "by this factor"" quantifies the change; "The increase happened "because of this"" explains the reason.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
86%
Authority and reliability
4.5/5
Expert rating
Real-world application tested