Questions About Atoms: Protons & Neutrons

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fluidistic
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How did we know that the more common isotope of iron has 26 protons and 30 neutrons?
I'm asking a general question so the iron example is just a special case.
How did we know that oxygen has 8 protons? (and 8 neutrons), and also that the 8 neutrons is the most stable isotope and that there exists other isotopes in smaller quantities. How did we determine the quantities of the isotopes?
 
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Thanks a lot. I wasn't aware of this.