Factoring is like taking a number apart. It means to express a number as the product of its factors. Factors are either composite numbers or prime numbers (except that 0 and 1 are neither prime nor composite).
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The term common factoring is relating to what is common among two or more things. This same technique is used in math. In math some problems require the common factor to be found. A common factor of the numbers 4 and 8 would be the number 2.
factoring or factorizing
Algebra, Geometry, statistics, factoring
When you divide 2 or more numbers by a common factor which is not the greatest common factor, they will still have a common factor which is greater than 1. When you divide them by their greatest common factor, the quotients are coprime - that is, they no longer have a factor in common other than 1.
Factor trees are intended to find prime factors, one isn't prime. The process of factoring is intended to break down the number. Since factoring out one still leaves the original number, it isn't useful.