The purpose of this study was to investigate the gifted mathematics in some courses of factors and multiples in junior high school. A qualitative research method was mainly employed in this study. Based on Mathematics Learning Area in Grade 1-9 Curriculum, the research collected and classified questions related factors and multiples. Further, the research generalized techniques of problem-solving that could guide gifted students to have a systematically problem-solving thinking mode in the course of factors and multiples.