Factor Calculator

Factor Calculator

Find every positive factor of a nonzero integer and check whether its absolute value is prime.

Last updated: June 2026 | By Patchworkr Team

Integer Factorization
Enter any nonzero integer. The calculator lists the positive factors of its absolute value and updates immediately.
Result
Factor count
16
Prime?
NO
Sum
360
Positive factors of |n|
12345681012152024304060120
The factors shown are the complete set of positive divisors.

What is a factor?

A factor is a whole number that divides evenly into another number with no remainder. Every nonzero integer has at least two positive factors: 1 and its absolute value.

Why factors matter

Factors help with simplifying fractions, finding greatest common divisors, and checking whether a number is prime or composite.

How it works

360 = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

The calculator checks divisors up to the square root of the absolute value and adds the matching complementary factor when a divisor is found.

Worked Example

Find the positive factors of 360.

1. Check divisors from 1 up to sqrt(360).

2. Pair each divisor with 360 divided by that divisor.

3. Collect every positive divisor in sorted order.

Final answer: 24 factors

Frequently Asked Questions

What happens with zero?

Zero has infinitely many divisors, so this calculator rejects it instead of listing an incorrect set.

Does the sign matter?

The factor list uses the positive factors of the absolute value. The sign only changes the explanation note.

Is 1 prime?

No. One has exactly one positive factor, so it is neither prime nor composite.

Can I enter a decimal?

No. Factorization here is defined for whole numbers only.

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