1. What Is The Equation X × Y = 121?

The equation x × y = 121 represents all possible factor pairs of the number 121. This includes both integer and fractional solutions that when multiplied together equal 121.

2. How Does The Calculator Work?

The calculator uses the simple multiplication equation:

Where:

• \( x \) — First factor (unitless)
• \( y \) — Second factor (unitless)

Explanation: The calculator verifies whether the product of the two input values equals 121 and provides the result.

3. Importance Of Factor Pairs

Details: Understanding factor pairs is fundamental in mathematics, particularly in algebra, number theory, and problem-solving. Factor pairs of 121 help in simplifying expressions and solving equations.

4. Using The Calculator

Tips: Enter values for x and y (both unitless). The calculator will determine if their product equals 121. Both values must be non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What are the integer factor pairs of 121?
A: The integer factor pairs are: 1 × 121 and 11 × 11.

Q2: Are there fractional solutions to x × y = 121?
A: Yes, there are infinite fractional solutions. For example: 0.5 × 242, 2 × 60.5, 4 × 30.25, etc.

Q3: Can negative numbers be solutions?
A: Yes, negative numbers can also be solutions. For example: -1 × -121, -11 × -11.

Q4: How is this equation useful in real life?
A: This type of equation is used in various applications including area calculations, ratio problems, and proportional reasoning.

Q5: What if I get a result that says "not equal to 121"?
A: This means the product of your two numbers does not equal 121. Try different values to find factor pairs that work.