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Factor

Concept

Factor

In an expression where numbers and variables are being multiplied, each of the values being multiplied is called a factor. A multiplicative expression has anywhere between 22 and infinitely many factors; the result of multiplication is called a product. Factor×Factor×Factor=Product2×3×4=24\begin{gathered} \textbf{Factor} & \times & \textbf{Factor} & \times & \textbf{Factor} & = & \textbf{Product}\\ 2 & \times & 3 & \times & 4 & = & 24 \end{gathered} Each part of a multiplicative expression that includes variables is also called a factor. FactorFactorFactor=Product2x4=8x\begin{gathered} \textbf{Factor} & \cdot & \textbf{Factor} & \cdot & \textbf{Factor} & = & \textbf{Product}\\ 2 & \cdot & x & \cdot & 4 & = & 8x \end{gathered} When multiplying algebraic expressions, each expression is also called a factor. (x+2)Factor(x+1)Factor=x2+3x+2Product\begin{gathered} \overbrace{(x+2)}^{\textbf{Factor}}\overbrace{(x+1)}^{\textbf{Factor}}=\overbrace{x^2+3x+2}^{\textbf{Product}} \end{gathered}