Factoring Calculator

Instructions:
  • Enter a number in the input field and click "Calculate Factors" to find its factors.
  • The factors will be displayed along with additional information and detailed calculations.
  • You can review your calculation history in the "Calculation History" section below.
  • Click "Clear Results" to clear the current results or "Copy Results" to copy them to the clipboard.

The Factoring Calculator is a tool that helps to factorize expressions. It is a simple and easy-to-use tool that can be used to simplify expressions, solve equations, and find roots of polynomials.

Concepts

Factoring

Factoring is the process of finding the factors of a given expression. In algebra, factoring is used to simplify expressions, solve equations, and find roots of polynomials. Factoring is an important concept in mathematics and is used in many areas of science and engineering.

Factors

Factors are the numbers or expressions that are multiplied together to get another number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

Quadratic Equations

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants. Factoring is used to solve quadratic equations.

Polynomials

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Factoring is used to find the roots of polynomials.

Formulae

The formula for factoring a quadratic equation of the form ax^2 + bx + c = 0 is as follows:

ax^2 + bx + c = (px + q)(rx + s)

where p, q, r, and s are constants.

Benefits

The Factoring Calculator has several benefits, including:

  • It simplifies expressions.
  • It solves equations.
  • It finds roots of polynomials.
  • It saves time and effort.

Interesting Facts

  • Factoring is used in cryptography to break codes.
  • Factoring is used in computer science to optimize algorithms.
  • Factoring is used in physics to solve problems related to motion and energy.
References
  • D’Angelo, J. P. and West, D. B. Mathematical Thinking: Problem-Solving and Proofs, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 2000.
  • Sloane, N. J. A. Sequence A001710 /M2933 in “The On-Line Encyclopedia of Integer Sequences.”
  • Weisstein, Eric W. “Factoring.” From MathWorld –A Wolfram Web Resource. .

Last Updated : 11 December, 2023

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