A method of making an alkoxylated polyethyleneimine (APEI) product having reduced discoloration includes treating a composition including a component selected from the group of polyethyleneimine (PEI), APEI intermediate, and combinations thereof that is used to make the APEI product. The method of treating the composition includes heating a composition that includes an adduct of a conjugate base and PEI, water, and the component at a temperature of from 158 to 338.degree. F. for a period of at least three hours in the absence of additional water in order to substantially decompose the adduct in the composition. The aqueous solutions of APEI product thus made have Gardner color values of less than 6.