The invention relates to fragmenting projectiles. In order that all projectiles of a*waffe*Bug projectile type have the same point of impact, i.e., the same projectile weight, the same center of gravity and the same geometry, and that the marksman can set the fragmentation behavior solely by selecting the projectile, fragmenting projectiles having defined fragmentation in steps for the same point of impact, designed as two projectile types, namely as partially fragmenting projectiles or as jacketed projectiles, are proposed, wherein all fragmenting projectiles of a projectile type have the same projectile weight, the same center of gravity, and the same geometry, a fragmentable core is arranged in the front nose region for both projectile types, all fragmentable cores of a projectile type have the same density and differ from each other in the weight of the fragmentable core depending on the fragmentation, and all projectiles of a projectile type having the same weight of the fragmentable core have an identical marking that can be seen or felt from the outside.