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A factor is a number that can be multiplied to create a specific number in math (for example, 5 and 8 are factors of 40).
Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions. Example: factor 2y+6. Both 2y and 6 have a common factor of 2: 2y is 2×y. 6 is 2×3. So we can factor the whole expression into: 2y+6 = 2 (y+3) So 2y+6 has been "factored into" 2 and y+3.
Free factoring math topic guide, including step-by-step examples, free practice questions, teaching tips and more!
In Mathematics, factors are the positive integers that can divide a number evenly. Suppose we multiply two numbers to get a product. The number that is multiplied are the factors of the product. Each number is a factor of itself.
The process of writing a number or expression as a product is called factoring. If we write \(60 = 5\cdot 12\), we say that the product \(5 ⋅ 12\) is a factorization of \(60\) and that \(5\) and \(12\) are factors. Typically, there are many ways to factor a number. For example,
factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly.
Here are more examples of how to factor expressions in the Factoring Calculator. Feel free to try them now. Factor x^2+4x+3: x^2+4x+3. Factor x^2+5x+4: x^2+5x+4. Try Factoring Calculator » Factoring trinomials with step-by-step examples.