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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

increased by a factor of three

Grammar usage guide and real-world examples

USAGE SUMMARY

The phrase "increased by a factor of three" is correct and usable in written English.
It can be used when describing a quantitative change, indicating that a value has tripled in size or amount. Example: "The population of the city increased by a factor of three over the last decade."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

18 human-written examples

The finesse has increased by a factor of three compared to a single knot providing a sharper roll-off.

Steady state was not reached even though the average particle radius increased by a factor of three during the experiment.

Simulations show that required input powers are reduced by 50% and the maximum output powers are increased by a factor of three, when compared with equivalent systems.

Coupled with the fact that, as in 1906, Peary's speeds and distances miraculously increased by a factor of three or more only when he had parted company from those who had the knowledge to make their own positional calculations (like Robert Bartlett), returning to normality precisely when Peary rejoined them, the evidence is as damning as it needs to be.

As has been argued by economists across the EU, to make a significant impact on the European Union economies it should be increased by a factor of three or four and directed more specifically to overcoming the mounting obstacles in the way of sustainable growth and jobs.

Previously, Koole et al. speculated that if brain uptake of 18F amyloid ligand increased by a factor of three, this will only influence estimation of the effective dose within 1%; however, when the subject had taken medication that changed the function of the hepatic metabolism, the estimated effective dose will vary with a larger range [10].

Show more...

Human-verified similar examples from authoritative sources

Similar Expressions

42 human-written examples

Nationally, shale-gas production has increased by a factor of twelve in the past ten years.

News & Media

The New Yorker

When the last weight is removed, the volume has increased by a factor of four.

Since the president took office, wind energy production has tripled and solar energy has increased by a factor of ten.

News & Media

The New York Times

Between the turn of the twentieth century and the beginning of the twenty-first, they wrote, annual waste production increased by a factor of ten.

News & Media

The New Yorker

The only land usage that has increased – by a factor of four since 1984 – is of "uncropped agricultural land" or, more prosaically, farmland that isn't being farmed.

Show more...

Expert writing Tips

Best practice

When using "increased by a factor of three", ensure the context clearly indicates what is being measured and what the initial value was for accurate interpretation. For clarity, consider providing both the initial and final values.

Common error

Avoid assuming "increased by a factor of three" is equivalent to a 3% increase. It signifies a tripling, or a 300% increase, not a minor adjustment.

Antonio Rotolo, PhD - Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Antonio Rotolo, PhD

Digital Humanist | Computational Linguist | CEO @Ludwig.guru

Source & Trust

86%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Linguistic Context

The phrase "increased by a factor of three" functions as a quantitative descriptor, specifying the magnitude of an increase. It modifies a noun or verb phrase, indicating that the quantity in question has tripled. Ludwig AI confirms that is perfectly usable in written English.

Expression frequency: Common

Frequent in

Science

50%

News & Media

40%

Academia

10%

Less common in

Wiki

0%

Encyclopedias

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "increased by a factor of three" is a grammatically sound and frequently used expression that precisely quantifies a threefold increase. As affirmed by Ludwig AI, its usage spans across various domains, predominantly in science and news media. While alternatives like "tripled" exist, "increased by a factor of three" maintains a level of precision suited for technical and formal contexts. When using this phrase, ensure clarity in specifying the measured quantity to avoid misinterpretations. Be aware that while the phrase is common and correct, "increased by three times" is not always correct and has high chances of being misleading.

FAQs

How can I use "increased by a factor of three" in a sentence?

You can use "increased by a factor of three" to describe something that has tripled in quantity or size. For example, "The company's profits "increased by a factor of three" after the new marketing campaign".

What's the difference between "increased by a factor of three" and "increased by three times"?

"Increased by a factor of three" means the final value is three times the initial value. "Increased by three times" is similar to increased threefold. The phrase "increased by three times" can sometimes be misunderstood as quadrupling or as a 3% increase, so it is a less clear expression.

Is it better to say "tripled" or "increased by a factor of three"?

Both "tripled" and "increased by a factor of three" are correct. "Tripled" is more concise. However, "increased by a factor of three" may be preferred in technical or scientific writing for its precision.

What are some alternatives to saying "increased by a factor of three"?

You can use alternatives like "tripled", "increased threefold", or "multiplied by three" depending on the context.

ChatGPT power + Grammarly precisionChatGPT power + Grammarly precision
ChatGPT + Grammarly

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.

Source & Trust

86%

Authority and reliability

4.5/5

Expert rating

Real-world application tested

Most frequent sentences: