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This factoring calculator will determine the set of integer factors, or divisors, of positive integers up to 7 digits long. Enter the number you want factored and the individual factors will appear in the text box when you calculate.

For some examples:

Factors of 18are 1, 2, 3, 6, 9, 18.

Factors of 36are 1, 2, 3, 4, 6, 9, 12, 18, 36.

Factors of 48are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Factoring an integer, n, by this calculator is done by trial division. First find the square root of n and round it up to the next integer. Let the result equal s. Test all integers from 1 through s and record all that are divisible into n.

For some examples:

Factors of 18:

- the square root of 18 rounded up to the nearest integer is 5
- testing the values 1 through 5 for division into 18 we find the factors of 18 are (1 and 18), (2 and 9), (3 and 6) or the set 1, 2, 3, 6, 9, 18.

Factors of 36:

- the square root of 36 rounded up to the nearest integer is 6
- testing the values 1 through 6 for division into 36 we find the factors of 36 are (1 and 36), (2 and 18), (3 and 12), (4 and 9), (6 and 6) or the set 1, 2, 3, 4, 6, 9, 12, 18, 36.

Factors of 48:

- the square root of 48 rounded up to the nearest integer is 7
- testing the values 1 through 7 for division into 48 we find the factors of 48 are (1 and 48), (2 and 24), (3 and 16), (4 and 12), (6 and 8) or the set 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

**Cite this content, page or calculator as:**

Furey, Edward "Factoring Calculator" From *http://www.CalculatorSoup.com* - Online Calculator Resource.