The document discusses several key factors that affect solubility:
1) The nature of the solute and solvent - whether they are polar or non-polar determines if they will dissolve in each other, with "like dissolving like".
2) Temperature - for gases, solubility decreases as temperature increases but for solids it generally increases as temperature increases.
3) Pressure - for gases, solubility increases as pressure over the solvent increases based on Henry's Law.