  The flow ansatz states that the single-particle distribution of a given event
can be described in terms of the complex flow coefficients $V_n$.
Multi-particle distributions can therefore be expressed as products of these
single-particle coefficients; a property commonly referred to as factorization.
The amplitudes and phases of the coefficients fluctuate from event to event,
possibly breaking the factorization assumption for event-sample averaged
multi-particle distributions. Furthermore, non-flow effects such as di-jets may
also break the factorization assumption. The factorization breaking with
respect to pseudorapidity $\eta$ provides insights into the fluctuations of the
initial conditions of heavy ion collisions and can simultaneously be used to
identify regions of the phase space which exhibit non-flow effects. These
proceedings present a method to perform a factorization of the two-particle
Fourier coefficients $V_{n\Delta}(\eta_a, \eta_b)$ which is largely independent
of detector effects. AMPT model calculations of Pb-Pb collisions at
$\sqrt{s_{\text{NN}}} = 5.02$ TeV are used to identify the smallest
$|\Delta\eta|$-gap necessary for the factorization assumption to hold.
Furthermore, a possible $\Delta\eta$-dependent decorrelation effect in the
simulated data is quantified using the empirical parameter $F_2^\eta$. The
decorrelation effect observed in the AMPT calculations is compared to results
by the CMS collaboration for Pb-Pb collisions at $\sqrt{s_{\text{NN}}} = 2.76$
TeV.
