Crossword Genius

Computer factory with article for Etonian PM (9)

Ross

I believe the answer is:

macmillan

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

'etonian pm' is the definition.
'macmillan' can be an answer for 'pm' (I have seen 'former PM' mean 'macmillan' so perhaps 'pm' could also mean 'macmillan'). I'm unsure of the 'etonian' bit.

'computer factory with article' is the wordplay.
'computer' becomes 'Mac' (Apple Mac computer).
'factory' becomes 'mill' (mill is a type of factory).
'with' is a charade indicator (letters next to each other).
'article' becomes 'an' (English indefinite article).
'mac'+'mill'+'an'='MACMILLAN'

'for' is the link.

Can you help me to learn more?

(Other definitions for macmillan that I've seen before include "Prime Minister" , "PM after Eden" , "Harold -, former PM" , "Harold -, PM 1957 to 63" , "Conservative leader" .)

I've seen this clue in The Independent.
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