Final answer:
To find the cuberoot of 2.197, a method such as estimation, calculator, or numerical algorithms is typically used since 2.197 is not a perfect cube and does not factor easily into perfect cubes.
Step-by-step explanation:
To determine the cuberoot of 2.197 using a factor method, you would look for perfect cubes that are factors of 2.197, and then apply cube root operations to simplify the expression. However, since 2.197 is not a perfect cube, we would typically need to use either estimation techniques or a calculator to find the cube root. An alternative approach is to use algebraic methods or numerical algorithms to approximate the cube root. Unfortunately, the provided references do not contain a direct method for calculating cube roots but explore related concepts, such as extracting roots from exponential expressions and factor-label methods for unit conversions. Calculators usually have a root function where you could directly find the cube root or raise the number to the power of ⅓ (which is equivalent to taking the cube root).