rising by a factor of

USAGE SUMMARY

The phrase "rising by a factor of" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe an increase in quantity or value by a specific multiplier. Example: "The population of the city is projected to be rising by a factor of three over the next decade."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Extinction rates are rising by a factor of up to 1,000 above natural rates.

Huffington Post

In Kurashiki, a city located in the Okayama Prefecture, there were reports of pulmonary toxicity owing to oxidant air pollutants rising by a factor of 1.73 among the city's inhabitants in the period leading up to 1970 as yearly average SO3 levels increased.

BMJ Open

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

Poaching of elephants had risen by a factor of eight in Tanzania.

The Guardian

Incomes there quadrupled during the century, while total household spending rose by a factor of 2.2.

The New York Times

On the Icelandic exchange, stocks rose by a factor of nine in six years.

The New Yorker

Hong Kong's main exchange rose by a factor of 21, though it is still half the size of Tokyo.

The New York Times

But when the worker himself comes into this country his earnings can rise by a factor of ten or more.

The New Yorker

In America the amount of corporate bonds investment banks have underwritten and sold has risen by a factor of five.

The Economist

Emerging stock markets have risen by a factor of five since 1989; the U.S. market, fourfold; Europe, less than threefold.

The New York Times

The Sensex in India rose by a factor of five in real terms over 2003 to 2007, and has since lost a third of its value.

The Guardian - Opinion

The Shanghai Composite in China rose by a factor of five in real terms from 2005 to 2007, and then lost two-thirds of its real value.

The Guardian - Opinion

Expert writing Tips

Best practice

When using the phrase "rising by a factor of", ensure that the context clearly indicates what is being measured and the baseline from which the increase is calculated. This avoids ambiguity and ensures the information is easily understood.

Common error

Avoid incorrectly assuming the initial value. Always state the original value or provide context for readers to understand the magnitude of the rise accurately.

Linguistic Context

The phrase "rising by a factor of" functions as an adverbial phrase modifying a verb, specifying the magnitude of increase. It quantifies how much a particular value or quantity has increased, indicating multiplication. As Ludwig AI suggests, the phrase follows standard grammar rules.

Expression frequency: Common

Frequent in

Science

35%

News & Media

35%

Formal & Business

10%

Less common in

Encyclopedias

5%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "rising by a factor of" is a grammatically sound and commonly used expression to describe proportional increase, especially in scientific, news, and business contexts. Ludwig AI confirms that the phrase is correct. When using it, ensure clarity by explicitly stating what is being measured and the base value. While the phrase is versatile, synonyms like "increasing by a multiple of" or "growing exponentially by" can provide nuanced variations. The frequency of use is "common", but understanding the appropriate context and avoiding misinterpretation of the base value is crucial for effective communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

increased by a multiple of

Changes "factor" to "multiple", implying a proportional increase.

grown exponentially by

Specifies the type of growth as exponential, emphasizing a rapid increase.

multiplied by a value of

Replaces "rising" with "multiplied" to emphasize mathematical operation.

escalated proportionally by

Uses "escalated" to suggest a more intense increase, with "proportionally" keeping the mathematical sense.

expanded by a rate of

Substitutes "rising" with "expanded", focusing on the extent of increase.

amplified by a coefficient of

Utilizes more technical terms like "amplified" and "coefficient" for a scientific tone.

surged by a magnitude of

Emphasizes the strength of the increase using "surged" and "magnitude".

climbed by a proportion of

Replaces "factor" with "proportion", indicating a relative increase.

augmented by a figure of

Uses "augmented" to convey an additive increase, quantified by a "figure".

boosted by a ratio of

Suggests an improvement-related increase, using "boosted" and "ratio".

FAQs

How is "rising by a factor of" used in scientific writing?

In scientific writing, "rising by a factor of" is used to express proportional increase in measurable quantities. For example, "The temperature "rose by a factor of" two", indicates that the final temperature is twice the initial temperature.

What's a simple way to explain "rising by a factor of"?

Simply put, "rising by a factor of" means something is multiplying. For instance, "rising by a factor of three" means becoming three times as much.

Is there a difference between "increasing by a factor of" and "rising by a factor of"?

No, "increasing by a factor of" and "rising by a factor of" are interchangeable and have the same meaning. Both indicate proportional growth or multiplication.

Can I use "growing by a factor of" instead of "rising by a factor of"?

Yes, in many contexts, "growing by a factor of" can be used as a synonym for "rising by a factor of", especially when describing increases in populations, economies, or other quantities that naturally "grow".