1. What is the What Times What Equals Calculator?

The What Times What Equals Calculator finds all possible pairs of numbers (x and y) that multiply together to equal a given number N. It's useful for solving equations, finding factors, and understanding multiplication relationships.

2. How Does the Calculator Work?

The calculator uses the multiplication formula:

Where:

• \( x \) — First factor (unitless)
• \( y \) — Second factor (unitless)
• \( N \) — Target number (unitless)

Explanation: The calculator finds all integer pairs (x, y) that satisfy the equation x × y = N, including both positive and negative pairs.

3. Importance of Factor Pairs

Details: Understanding factor pairs is fundamental in mathematics, helping with simplifying fractions, solving equations, factoring polynomials, and finding common denominators.

4. Using the Calculator

Tips: Enter any number (positive, negative, or decimal) to find all possible pairs of numbers that multiply to that value. The calculator will display both integer factors and decimal approximations when needed.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter 0?
A: Any number multiplied by 0 equals 0, so the calculator will indicate that all numbers can pair with 0 to get 0.

Q2: Does the calculator work with decimal numbers?
A: Yes, the calculator handles decimal inputs and will provide appropriate factor pairs.

Q3: How many factor pairs can a number have?
A: Prime numbers have only two factor pairs (1×N and -1×-N for positive primes), while composite numbers have more. The number of factor pairs depends on how many factors the number has.

Q4: What about negative numbers?
A: The calculator provides both positive and negative factor pairs. For negative numbers, one factor will be positive and the other negative.

Q5: Can this calculator help with fractions?
A: While it works with decimal numbers, for exact fractional results you may need to convert fractions to decimals first or use a specialized fraction calculator.