The scientific classification of Tree-of-Heaven and Mandacaru 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 Mandacaru kingdom and all other plants kingdom is Plantaea.
Plant family is the group of plants which have something in common. Tree-of-Heaven and Mandacaru family is a major factor of Tree-of-Heaven and Mandacaru 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 Mandacaru belongs to the family Cactaceae.
While comparing scientific classification, Tree-of-Heaven and Mandacaru genus and other classification are also important. Also, when you compare Tree-of-Heaven and Mandacaru, 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 Cereus. Tree-of-Heaven tribe is Not Available and Mandacaru tribe is Careeae. Tree-of-Heaven clade is Angiosperms, Eudicots and Rosids and order is Sapindales whereas Mandacaru clade is Angiosperms, Core eudicots and Eudicots and order is Caryophyllales. Every plant have subfamilies. Tree-of-Heaven subfamilies are, Not Available and Mandacaru subfamilies are Cactoideae. In this way you can compare scientific classification of Tree-of-Heaven and Mandacaru and other products also.