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Try certain physics problems in kinematics without the factoring skill picked up in algebra.
Most of us do not know who "invented" factoring trinomials, many do not even care. Factoring is just one of the axioms that an algebra system establishes. If you really want to know, try searching on Google.
That's what you learn in high school, in a first subject of algebra - things like evaluating expressions, converting them, solving equations, factoring polynomials, etc.
It help factor your answers for the future. Especially when you use factoring, quadratic formula and the like. It's very useful when you reach Freshman Algebra.
You'll typically use it when solving a quadratic equation - when factoring isn't obvious.