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The phrase "an even number" is grammatically correct and can be used in written English.
It is commonly used when referring to numbers that are divisible by 2, such as 2, 4, 6, 8, etc. Here is an example of how you could use it in a sentence: "I always choose seats in even-numbered rows at the theater because I find them to be more comfortable."
Exact(60)
Make sure you have an even number.
Always do an even number of rows.
Rectangular in shape and have an even number of legs.
"It could be an odd and an even number.
Symmetries no longer require the cell size to be an even number of pixels.
Then at any party, there are an even number of odd people.
PAH+ ions with an even number of C atoms occur, both ionized and protonated.
"It used to bother me when we had an even number.
That boy better hope there are an even number of weeks till the final.
"When it was an even number you could figure it out in your head".
There are now 17 states with an even number of House members.
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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