👉 In mathematics, a subfield of a field is a subset of that field with all its elements having the same characteristic. In other words, it's a set of numbers or elements that have no common factor apart from 1. For example, in the field of real numbers (R), the set of rational numbers (Q) forms a subfield because they share no common factors other than 0 and 1, while the set of irrational numbers (I) doesn't form a subfield