All factors
Factors of 8412 factors; factor pairs include 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14, and 7 x 12
Factor Calculator
Use this free factor calculator to list every factor of a positive whole number, show factor pairs, identify prime numbers, and write prime factorization with steps.
All factorsFactor pairsPrime factorizationPrime check
12 factors1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- Factor count
- 12
- Factor pairs
- 6
- Prime factors
- 2^2 x 3 x 7
Steps
- Test whole-number divisors from 1 through the square root of 84.
- When a divisor works, pair it with the matching quotient.
- Sort the factors from least to greatest: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
- Prime factorization: 2^2 x 3 x 7.
Recent answers
Recent factor answers will appear here.
Input tips
Enter one positive whole number up to 1,000,000,000,000.
The tool lists factors, factor pairs, and prime factorization.
How to use the Factor Calculator
- Enter one positive whole number.
- Press Find factors to list all factors and factor pairs.
- Review the prime factorization and whether the number is prime.
- Use examples, recent answers, or copy answer while checking divisibility work.
What people use it for
List all factors of a number for divisibility and homework checks.
Find factor pairs before simplifying, factoring, or grouping values.
Write prime factorization in repeated-prime or exponent form.
Check whether a positive whole number is prime or composite.
Quick examples
Prime number
Factors of 97Only 1 and 97, so 97 is prime
Prime factorization
3602^3 x 3^2 x 5, which multiplies back to 360
Need the guide or a nearby tool?
Need a slower walkthrough, a related calculator, or the full library? These links keep you close to the task you started.
- How to use the Factor CalculatorSee slower examples, input meanings, formula notes, result limits, and mistakes to avoid.
- CalculatorsBrowse related calculators and utilities in the same category.
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Frequently asked questions
Quick answers about factors, factor pairs, prime numbers, prime factorization, input limits, and privacy.
What is a factor?
A factor is a whole number that divides another whole number without a remainder. For example, 6 is a factor of 24 because 24 / 6 = 4.
What does the Factor Calculator show?
It shows all factors, factor pairs, prime factors, prime factor powers, and whether the input is prime.
What do the main Factor Calculator inputs mean?
Enter one positive whole number. The calculator tests whole-number divisors, keeps only the divisors that leave no remainder, and pairs each divisor with the matching quotient.
How should I read the Factor Calculator answer?
Start with the full factor list, then check the factor pairs. For 84, the pair 6 x 14 means both 6 and 14 divide 84 evenly. The prime factorization shows the same number broken into prime building blocks.
What should I double-check before trusting the Factor Calculator?
Check that the input is a positive whole number and that you did not mean GCF, LCM, or prime factorization only. Decimals, negative signs, and comparing multiple numbers belong in a different workflow.
Is 1 a prime number?
No. A prime number has exactly two positive factors: 1 and itself. The number 1 has only one positive factor.
What is the largest input this factor tool supports?
The tool supports positive safe whole numbers up to 1,000,000,000,000. That keeps browser factor searches responsive.
When should I use GCF or LCM instead?
Use the Factor Calculator for one number. Use GCF to compare shared factors across multiple numbers, and LCM to compare shared multiples.
Is my factor history private?
Yes. Recent factor answers stay only in the current browser tab while you use the page. They are not sent to a server.