A cartridge which is detachably mountable on an image forming apparatus is provided with non-volatile storing medium. In this non-volatile storing medium, a predetermined value is stored. The predetermined value is used for controlling the image forming apparatus together with the count value which is counted when forming images. The count value for counting images formed in a first image formation mode is different from the count value that is counted when forming images in a second image formation mode whose maximum amount of waste toner contained in a cleaning container is different from that of the first image mode. With the structure thus arranged, the number of printable sheets is made greater before the waste toner is filled in the cleaning container up to its limit, hence enabling the user to secure a longer period of time for preparing the cartridge.
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