In the 1836 scenario ("Grand Campaign"), no nation starts with the tech to build a machine tools factory. This requires the invention
Precision Work, which requires the industrial tech
Interchangeable Parts. The UK however starts with the only such factory on the planet, located in London. For a list of factories and starting levels of machine parts for the major nations check out my
Grand Campaign Economy chart.
You can also get a total of 30 machine parts from three different industrial techs and one invention:
Publishing Industry: 5
Mechanical Production: 5
Interchangeable Parts: 10
Precision Work: 10