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.

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All factors Factor pairs Prime factorization Prime 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

  1. Test whole-number divisors from 1 through the square root of 84.
  2. When a divisor works, pair it with the matching quotient.
  3. Sort the factors from least to greatest: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
  4. Prime factorization: 2^2 x 3 x 7.

How to use the factor calculator

  1. Enter one positive whole number.
  2. Press Find factors to list all factors and factor pairs.
  3. Review the prime factorization and whether the number is prime.
  4. Use examples, recent answers, or copy answer while checking divisibility work.

Common uses

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.

Examples

All factors Factors of 84

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Prime number Factors of 97

1, 97

Prime factorization 360

2^3 x 3^2 x 5

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.

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.

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