Recently, [1] demonstrated the 2-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of hidden zeros, where the form factors vanish on specific kinematic loci. We first establish these zeros and a new zero for the form factors of the composite operators \(\mathcal{O}=\frac{1}{2}{\text{Tr}}\left({\left(\partial \phi \right)}^{2}\right)+Tr\left({\phi }^{3}\right)\) and \(\mathcal{O}={\text{Tr}}\left({F}^{2}\right)\) , and then employ an inductive proof based on the BCFW recursion relation to prove the 2-split factorization for any number of external particles.
