Factors of 1585

The factors of 1585 are 1, 5, 317, 1585. It has 4 factors.

Factors of 1585

Pick any whole number from 1 to 10,000.

1585 = 5 \times 317

How to work it out

1
A factor of 1585 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1585 ≈ 39.81; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 4 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$1585 = 5 \times 317$
4
Add all the factors: 1 + 5 + 317 + 1585 = 1908. Without 1585 itself that is 323, so 1585 is a deficient number.

LaTeX source of the formulas on this page

\[ 1585 = 5 \times 317 \]

Factor	Pairs with	Product
1	1585	1 × 1585 = 1585
5	317	5 × 317 = 1585

What are the factors of 1585?

The factors of 1585 are 1, 5, 317, 1585. It has 4 factors.

What are the prime factors of 1585?

5, 317. As a product: 5 × 317.

How many factors does 1585 have?

1585 has 4 factors (2 factor pairs).

What is the sum of the factors of 1585?

1908.

Is 1585 a prime number?

No. It is divisible by 5, so 1585 = 5 × 317.