manufacturing plant is an industrial site, usually consisting of buildings and machinery, or more commonly a complex having several buildings, where workers manufacture goods
Hmm, do you work for an manufacturing plant?
We workers manufacture goods or operate machines processing one product into another.
Oh that's neat. What do you manufacture?
Garments ! Early factories that contained small amounts of machinery, such as one or two spinning mules, and fewer than a dozen workers
That's so cool.  I love clothes.
cotton mill is a factory housing powered spinning or weaving machinery for the production of yarn or cloth from cotton, an important product during the Industrial Revolution 
Who invented the cotton gin?
Cotton gin
A cotton gin is a machine that quickly and easily separates cotton fibers from their seeds, enabling much greater productivity than manual cotton separation. The fibers are then processed into various cotton goods such as linens, while any undamaged cotton is used largely for textiles like clothing. The separated seeds may be used to grow more cotton or to produce cottonseed oil. 
Handheld roller gins had been used in the Indian subcontinent since at earliest AD 500 and then in other regions. The Indian worm-gear roller gin,
Factory
A factory, manufacturing plant or a production plant is an industrial site, usually consisting of buildings and machinery, or more commonly a complex having several buildings, where workers manufacture goods or operate machines processing one product into another.
Factories arose with the introduction of machinery during the Industrial Revolution when the capital and space requirements became too great for cottage industry or workshops. Early factories that contained small amounts of machinery, such as one or two spinning mules, and fewer than a dozen workers have been called "glorified