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The key to understanding and solving complex math problems is building up a wide knowledge of simpler concepts that all build on each other. One of these concepts is finding the square root of numbers or fractions using prime factorization. While this concept is important for understanding other concepts in math - for example, the Pythagorean theorem - finding square roots has many real-world applications. These include, but are not limited to, creating powerful algorithms that can solve complex problems and tackling tough engineering or architectural challenges. Prime factorization is simply a way of calculating large square roots more easily using their prime number factors.