👉 Factorizations are mathematical operations that allow us to decompose a number into its prime factors. They are fundamental in combinatorial analysis, algebraic geometry, and other areas of mathematics where prime numbers play a crucial role. For example, consider the expression 180. In this case, we can factorize it as follows: \[180 = 2^2 \times 3^2 \times 5\] This decomposition allows us to express any number as a product