Commonly called divine tree, the neem tree (Azadirachta indica) is sacred in its native India, Bangladesh and Pakistan. These fast-growing shade trees can survive drought and grow well in poor soil. And, the leaves, fruit and seeds are edible. Neem trees grow in U.S. Department of Agriculture plant hardiness zones 10 through 12. The trees commonly grow 50 to 75 feet tall and can live for 200 years. The simplest way to propagate neem trees is by seed