Factor Calculator
Find all factors, prime factors and factor pairs of any number. Check if a number is prime.
A positive whole number, e.g. 12.
Factors are the numbers that divide it exactly. Prime factors are the smallest primes whose product equals it.
Prime?
No
6 factors found
Factor count
6
Including 1 and 12
All factors
Prime factors
Factor pairs
Last updated: February 2026
How this calculator is verified
Checked by True Calculator automated test suite on
- Formula verified against a published worked example in the automated test suite
- Edge cases (zero, negative, boundary and unit-mismatch inputs) covered by unit tests
The full verification method is on our how we verify page. Found an error? Tell us and we will re-check it.
When to Use This Calculator
A student in Kochi needs the factors of 60. Entering 60, the calculator lists every divisor: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60, twelve factors in all. The prime factorization is 2 squared times 3 times 5, since 60 is 4 times 15. The factor pairs are 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, and 6 and 10. Entering 97 instead shows only the factors 1 and 97, so the prime indicator marks it as a prime number.
How to Use This Calculator
- Step 1: Enter the number you want to factor in the input field.
- Step 2: Calculate to list all positive divisors of the number.
- Step 3: Read the full factor list, the prime factorization and the factor pairs.
- Step 4: Check the prime indicator to see whether the number is prime.
Worked Example
A student in Kochi needs the factors of 60. Entering 60, the calculator lists every divisor: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60, twelve factors in all. The prime factorization is 2 squared times 3 times 5, since 60 is 4 times 15. The factor pairs are 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, and 6 and 10. Entering 97 instead shows only the factors 1 and 97, so the prime indicator marks it as a prime number.
Tips and Common Mistakes
- •Tip 1: Every factor pair multiplies back to the original number, so use that as a check while reading the list.
- •Tip 2: A number is prime when it has exactly two factors, so the indicator saves you from testing divisibility by hand.
- •Tip 3: Prime factorization helps find the GCF and LCM of several numbers without listing every factor.
- ✗Mistake 1: Stopping the search at the square root of the number, which hides the larger partner of each factor pair.
- ✗Mistake 2: Treating 1 as prime; the calculator marks it correctly as neither prime nor composite.
Frequently Asked Questions
How do I find all the factors of a number?
Enter any whole number and the calculator lists every positive divisor, from 1 up to the number itself, along with its factor pairs and a prime check. For 60 it returns 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 — twelve factors in all.
What is the difference between factors and prime factors?
Factors are all the whole numbers that divide the number exactly, while prime factors are the subset of those that are prime. The prime factorization of 60 is 2² × 3 × 5, and multiplying it back always gives the original number.
Is 1 a prime number?
No. A prime number has exactly two factors, 1 and itself, but 1 has only one factor. The calculator correctly marks 1 as neither prime nor composite, following the standard definition.
Where do factor questions appear in Indian school maths?
Factors and multiples are introduced around Class 5 in the NCERT curriculum and come back in fraction simplification, HCF and LCM problems. Knowing the factor lists of common numbers like 24, 36 and 60 speeds up homework and competitive exam questions.
Can I use this calculator to check whether a number is prime?
Yes. If the factor list shows only 1 and the number itself, it is prime. For example, 97 returns exactly those two factors, so the prime indicator flags it as prime.
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