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The phrase "a factor of seven" is correct and usable in written English.
It can be used in mathematical contexts to describe a number that can be multiplied by another integer to yield seven.
Example: "The number 21 is a factor of seven, as it can be divided evenly by seven."
Alternatives: "a multiple of seven" or "divisible by seven".
Exact(45)
EE more than tripled OE and embodied emissions exceeded OG by a factor of seven.
Berlin is determined that the island deflates a bloated financial sector that exceeds the size of the Cypriot economy by a factor of seven.
Not that the press then or now has any impact on demand for tickets, which outstrips supply by a factor of seven.
Loomo is going down a storm on Indiegogo, where it has exceeded its $100,000€81,00000) crowdfunding goal by a factor of seven.
The home retail segment, for example, underperforms the average investment in R&D for all industries by a factor of seven.
Germany is determined that the island deflate a bloated financial sector that exceeds the size of the Cypriot economy by a factor of seven.
Similar(14)
Maybe a factor of five".
scores by a factor of two.
Then the rent went up -- by a factor of ten.
But we didn't come within a factor of two.
"We were wrong by a factor of five".
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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