Factors of 2005

The factors of 2005 are 1, 5, 401, 2005. It has 4 factors.

Factors of 2005

Pick any whole number from 1 to 10,000.

2005 = 5 \times 401

How to work it out

1
A factor of 2005 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2005 ≈ 44.78; 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.
$2005 = 5 \times 401$
4
Add all the factors: 1 + 5 + 401 + 2005 = 2412. Without 2005 itself that is 407, so 2005 is a deficient number.

LaTeX source of the formulas on this page

\[ 2005 = 5 \times 401 \]

Factor	Pairs with	Product
1	2005	1 × 2005 = 2005
5	401	5 × 401 = 2005

What are the factors of 2005?

The factors of 2005 are 1, 5, 401, 2005. It has 4 factors.

What are the prime factors of 2005?

5, 401. As a product: 5 × 401.

How many factors does 2005 have?

2005 has 4 factors (2 factor pairs).

What is the sum of the factors of 2005?

2412.

Is 2005 a prime number?

No. It is divisible by 5, so 2005 = 5 × 401.