Knowing the highest common factors of numbers helps to reduce fractions to their lowest terms
Factoring helps to find the lowest common multiple of numbers which is useful when adding or subtracting fractions with different denominators.
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Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.
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Factoring
You can't get zero by factoring. Simple enough.
Prime factorization is a powerful tool when finding the lowest common multiple for use in fractions and greatest common factor when reducing fractions. It is used in algebra to find the possible factoring combinations when factoring polynomials.