Searches for heavy scalar resonances decaying to $Z\gamma$ and $\gamma\gamma$ are presented. These searches are based on the data collected with the CMS detector at 13 TeV. The search strategy is to look for an excess above the non-resonant Standard Model background in the $Z\gamma$ and $\gamma\gamma$ invariant mass spectra. The background is extracted directly from data and compared with the signal expected to be produced by hypothetical scalar resonances.