factorynoun1.  BAD
 BAD: The wheat is collected and sent to the flour factory.
 GOOD
 GOOD: The wheat is collected and sent to the flour mill.
 BAD
 BAD: The brick factory was closed down during the recession.
 GOOD
 GOOD: The brick works was closed down during the recession.
 BAD
 BAD: Just outside the town there is a large chemical factory.
 GOOD
 GOOD: Just outside the town there is a large chemical plant.
 Usage Note:COMPANY · FACTORY · INDUSTRY · MILL · PLANT · WORKS Company
 Usage Note:COMPANY · FACTORY · INDUSTRY · MILL · PLANT · WORKS Company  an organization that makes or sells goods or that sells services: ‘My father works for an insurance company.’ ‘IBM is one of the biggest companies in the electronics industry.’
Factory  a place where goods such as furniture, carpets, curtains, clothes, plates, toys, bicycles, sports equipments, drinks and packaged food are produced: ‘The company’s UK factory produces 500 golf trolleys a week.’
Industry  (1) all the people, factories, companies etc involved in a major area of production: ‘the steel industry’, the clothing industry’
(2) all industries considered together as a single thing: ‘Industry has developed rapidly over the years at the expense of agriculture.’
Mill  (1) a place where a particular type of material is made: ‘a cotton mill’, ‘a textile mill’, a paper mill’ (2) a place where flour is made from grain: ‘a flour mill’
Plant  a factory or building where vehicles, engines, weapons, heavy machine, drugs or industrial chemicals are produced, where chemical processes are carried out, or where power is generated:‘Vauxhall-Opel’s UK car plants’, ‘Honda’s new engine plant at Microconcord, Swindon’, ‘a sewage plant’, ‘a wood treatment plant’. ‘ICI’s £100m plant’, ‘the Sellafield nuclear reprocessing plant in Cumbria’
Works  an industrial building where materials such as cement, steel, and bricks are produced, or where industrial processes are carried out: ‘The drop in car and van sales has led to redundancies in the country’s steel works.’
2.  BAD
 BAD: They intend to build either a sports centre or a factory of shoes.
 GOOD
 GOOD: They intend to build either a sports centre or a shoe factory.
 Usage Note:
 Usage Note:Put 
factory  after the thing that is produced: 'a bottle factory', 'a clothing factory'. 
   [TahlilGaran] Dictionary of Common Errors ▲
 factory a building or group of buildings in which goods are produced in large quantities, using machines: 
 She works in a chocolate factory.
 She works in a chocolate factory.  a clothing factoryplant
 a clothing factoryplant a large factory where cars, chemicals, or energy is produced: 
 Local residents are protesting about the new nuclear power plant.
 Local residents are protesting about the new nuclear power plant.  a car plant
 a car plant  a nuclear power plantfacility
 a nuclear power plantfacility a factory. 
Facility is often used instead of 
factory  in business English: 
 The new production facility is one of the most up-to-date in the area.works
 The new production facility is one of the most up-to-date in the area.works used in the following compounds to describe a factory that produces a particular thing: 
a steelworks/ironworks/brickworks/a chemical/cement works/a printing worksmill a factory that produces paper, cotton, or cloth: 
 a paper mill
 a paper mill  The textile mill has been converted into luxury flats.shipyard
 The textile mill has been converted into luxury flats.shipyard a place where ships are built or repaired: 
 The vessel was built in the Kobe shipyard.foundry
 The vessel was built in the Kobe shipyard.foundry a factory where metal is made into things using 
moulds: 
 Mandela’s statue was cast here in a local foundry.sweatshop disapproving
 Mandela’s statue was cast here in a local foundry.sweatshop disapproving a small factory where people work hard in bad conditions for very little money: 
 The company was fined for selling goods produced in sweatshops.
 The company was fined for selling goods produced in sweatshops. [TahlilGaran] English Thesaurus ▲