The scientific classification of Tree-of-Heaven and Painted Lady includes the entire classification chart that includes kingdom, family, clade, tribe etc. A kingdom is the second highest taxonomic rank. A taxonomic rank is the level that a living organisms are placed in hierarchical level of arrangement of life forms. All the living organisms are divided into kingdoms. Plant kingdom is a main classification of living organisms that include all plants. There are six kingdoms which are: Plantae, Animalia, Fungi, Protista, Aschaea/Archaeabacteria and Bacteria Eubacteria. Tree-of-Heaven and Painted Lady kingdom and all other plants kingdom is Plantaea.
Plant family is the group of plants which have something in common. Tree-of-Heaven and Painted Lady family is a major factor of Tree-of-Heaven and Painted Lady Scientific Classification. Plant family helps you narrow the search of your plants. It also gives you idea about, how the plant looks, how the seed will be like etc. These two plant families can be different or same. Tree-of-Heaven belongs to the family Simaroubaceae and Painted Lady belongs to the family Crassulaceae.
While comparing scientific classification, Tree-of-Heaven and Painted Lady genus and other classification are also important. Also, when you compare Tree-of-Heaven and Painted Lady, other factors should also be taken into considerations like order, subfamilies, tribe, clade etc. First plant's genus is Ailanthus and other plant's genus is Echeveria. Tree-of-Heaven tribe is Not Available and Painted Lady tribe is Sedeae. Tree-of-Heaven clade is Angiosperms, Eudicots and Rosids and order is Sapindales whereas Painted Lady clade is Angiosperms, Core eudicots and Eudicots and order is Saxifragales. Every plant have subfamilies. Tree-of-Heaven subfamilies are, Not Available and Painted Lady subfamilies are Sedoideae. In this way you can compare scientific classification of Tree-of-Heaven and Painted Lady and other products also.