By way of example, e_1\\ wedge e_2 + e_3\\ wedge e_4 in R ^ 4 cannot be factored; typically, however, such elements of the algebra do not yield to any geometric interpretation.
By way of example, e_1\\ wedge e_2 + e_3\\ wedge e_4 in R ^ 4 cannot be factored; only 0,1, (n-1) and n-vectors are always blades in n-space. Typically, however, such elements of the algebra do not yield to any geometric interpretation.