Crossword Genius

Building I rent for example for a number (7)

Ross

I believe the answer is:

integer

I'm a little stuck... Click here to teach me more about this clue!

'for a number' is the definition.
(integer is a kind of number)

'building i rent for example' is the wordplay.
I cannot really see how this works, but
'i' is present in the answer.
'example' could be 'eg' (short for 'exempli gratia', 'for example' in Latin) and 'eg' is found in the answer.
an anagram of 'rent' is 'nter' which is present in the left over letters.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for integer that I've seen before include "Positive or negative whole number" , "One for example" , "The whole thing" , "A whole number, not a fraction" , "one or two, perhaps" .)

I've seen this clue in The Globe and Mail.
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