Factoring Calculator with Step-by-Step Explanation

How to Use the Factoring Calculator

Our factoring calculator makes finding factors of numbers simple and educational. Here's how to use it:

  1. Enter numbers: In the input field, type the numbers you want to factor, separated by commas (e.g., 12, 36, 100).
  2. Calculate: Click the "Factorize" button to find all factors of your numbers.
  3. View results: The calculator will display all factors and show detailed step-by-step calculations.
  4. Learn the process: Review each step to understand exactly how the factors were determined.

Features of Our Factoring Calculator

Frequently Asked Questions (FAQ)

What are factors in mathematics?

Factors are numbers that divide another number exactly without leaving a remainder. For example, factors of 12 are 1, 2, 3, 4, 6, and 12 because each of these divides 12 exactly.

What is the difference between factors and multiples?

Factors are numbers that divide a given number exactly, while multiples are the results of multiplying a number by integers. For example, factors of 6 are 1, 2, 3, 6, while multiples of 6 are 6, 12, 18, 24, etc.

How do you find factors of a number?

To find factors of a number, divide the number by all integers from 1 up to the number itself. The divisors that result in whole numbers are factors.

What are prime factors?

Prime factors are factors of a number that are prime numbers. Every number can be expressed as a product of its prime factors. For example, prime factors of 12 are 2 and 3 (since 12 = 2 × 2 × 3).

What is the difference between prime and composite numbers?

Prime numbers have exactly two factors (1 and the number itself), while composite numbers have more than two factors. For example, 7 is prime (factors: 1, 7), while 12 is composite (factors: 1, 2, 3, 4, 6, 12).

Can this calculator handle negative numbers?

Yes, our calculator handles negative numbers by finding factors of their absolute values. For example, factors of -12 would be the same as factors of 12.

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