  We perform a complete analysis of isospin breaking in K -> Pi Pi amplitudes
in chiral perturbation theory, including both strong isospin violation and
electromagnetic corrections to next-to-leading order in the low-energy
expansion. The unknown chiral couplings are estimated at leading order in the
1/N_c expansion. We study the impact of isospin breaking on CP conserving
amplitudes and rescattering phases. In particular, we extract the effective
couplings g_8 and g_27 from a fit to K -> Pi Pi branching ratios, finding small
deviations from the isospin-limit case. The ratio Re(A_0)/Re(A_2) measuring the
Delta I=1/2 enhancement is found to decrese from 22.1 +/- 0.1 in the isospin
limit to 20.3 +/- 0.5 in the presence of isospin breaking. We also analyse the
effect of isospin violation on the CP violation parameter epsilon-prime,
finding a destructive interference between three different sources of isospin
violation. Within the uncertainties of large-N_c estimates for the low-energy
constants, the isospin violating correction for epsilon-prime is below 15%.
