A design description for verification includes a set of constraints on random variables within the design description. The set of constraints includes at least one multiplication constraint involving at least two random variables. A computer-based tool obtains designs and analyzes the design description to find the set of constraints and identify the multiplication constraint. The computer-based tool then performs factorization to solve for the multiplication constraint and to determine a set of potentially valid factoring values for the random variables used in the multiplication constraint. The design problem is then solved by the computer-based tool using the factoring values. If two multiplication constraints involve a common variable, the factorization finds a set of common factoring values between the two multiplication constraints to use for the common variable.