Online Factoring Calculator
Find all the factors of a whole number, count them, and see every factor pair that multiplies to it — with a downloadable PDF result.
Result
| 10 Factors | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
|---|---|
| Factor pairs |
1 × 48 = 48 2 × 24 = 48 3 × 16 = 48 4 × 12 = 48 6 × 8 = 48 |
What Is This Tool?
The Factoring Calculator finds every factor of a whole number — that is, each number that divides it evenly. You enter a number, click Calculate, and see how many factors it has, the full list of factors, and every factor pair that multiplies to the number. For 48, for example, it lists 10 factors and pairs like 1 × 48, 2 × 24, and 6 × 8. You can also download the full result as a PDF.
How to Use This Tool?
- Enter the whole number you want to factor.
- Click the Calculate button.
- Review the factor count, the list of factors, and the factor pairs.
- Download the result as a PDF if you need a copy.
Key Features
- Finds every factor (divisor) of a whole number.
- Counts how many factors the number has.
- Lists all the factor pairs that multiply to the number.
- Handles large numbers quickly and exactly.
- Lets you download the result as a PDF.
Examples
- 48 has 10 factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
- 12 has 6 factors: 1, 2, 3, 4, 6, 12.
- 36 has 9 factors, including the pair 6 × 6.
- 7 has only 2 factors, 1 and 7, because it is prime.
Common Use Cases
- Finding common factors to simplify fractions.
- Working out the greatest common divisor of two numbers.
- Checking whether a number is prime by counting its factors.
- Solving math problems that ask for all factors or factor pairs.
- Teaching or learning how factors and factor pairs work.
Tips & Best Practices
- Enter a positive whole number to factor.
- Use the factor count to quickly tell primes from composite numbers.
- Read the factor pairs to see which numbers multiply together to make the total.
- Look for a repeated pair like 6 × 6 to spot a perfect square.
- Use the PDF download to save or share the full result.
Limitations
- Factors one number at a time, not a list or batch.
- Accepts whole numbers only, from 1 up to one trillion.
- Lists all factors rather than only the prime factors.
- Very large inputs are capped to keep the calculation fast.
Frequently Asked Questions
- What is a factor?
- A factor is a whole number that divides another number evenly, leaving no remainder.
- How is this different from prime factorization?
- This lists every factor of the number, while prime factorization gives only the primes that multiply to it.
- What is a factor pair?
- Two factors that multiply together to make the number, such as 6 × 8 = 48.
- Can I save the result?
- Yes. You can download the full list of factors and pairs as a PDF.
Key Terminology
- Factor
- A whole number that divides another number evenly, with no remainder.
- Factor pair
- Two factors that multiply together to give the original number.
- Divisor
- Another word for a factor: a number that divides evenly into another.
- Composite number
- A whole number greater than 1 that has more than two factors.
- Perfect square
- A number whose factor pairs include one number multiplied by itself, such as 6 × 6 = 36.