Factors that may increase your child’s risk of developing asthma include exposure to tobacco smoke, previous allergic reactions, respiratory conditions (e.g., recurring bronchitis) and family history of asthma, allergic rhinitis, hives or eczema. About 60 percent of children with asthma will grow out of it by adulthood. However, only 5 to 30 percent of children with severe asthma will outgrow their asthma by adulthood.