What is the compressibility factor? What is its value for an ideal gas? How does it help to understand the extent of deviation of a gas from ideal behavior?

What is the compressibility factor? What is its value for an ideal gas? How does it help to understand the extent of deviation of a gas from ideal behavior?

When does a gas deviate the most from its ideal behavior ?

Boyle's temperature or Boyle point is the temperature at which a real gas starts behaving like an ideal gas over a particular range of pressure. A graph is plotted between compressibility factor $Z$ and pressure $P$.
What is the deviation of real gas from ideal behaviour in terms of compressibility factor, $Z$?

What will be the value of compressibility factor $\left(Z\right)$ for an ideal gas?

One mole of $$SO_2$$ gas occupies a volume of $$350\ ml$$ at $$27^{\circ} C$$ and $$50 atm$$ pressure. Calculate the compressibility factor of the gas.
Comment on the type of deviation shown by the gas from ideal behavior.