Final answer:
The factor considered in correctly classifying an Army accident is the cause of the accident, such as flight, insubordination, collapse, ruin, disorganization, or rout.
Step-by-step explanation:
When classifying an Army accident, the factor considered is the cause of the accident. This includes factors such as flight, insubordination, collapse, ruin, disorganization, and rout, which are all faults for which the general is responsible. For example, if the common soldiers are too strong and their officers too weak, it may lead to insubordination. On the other hand, if the officers are too strong and the common soldiers too weak, it may result in collapse. By determining the cause of the accident, it becomes possible to classify the Army accident correctly.