Factors of 2009

7, 41. As a product: 7^2 × 41.

The factors of 2009 are 1, 7, 41, 49, 287, 2009. It has 6 factors.

Factors of 2009

Pick any whole number from 1 to 10,000.

2009 = 7^{2} \times 41

How to work it out

1
A factor of 2009 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2009 ≈ 44.82; every one that divides gives a pair.
2
The factor pairs are listed in the table below. Together they give 6 factors.
3
Prime factorisation: keep dividing by the smallest prime that fits.
$2009 = 7^{2} \times 41$
4
Add all the factors: 1 + 7 + 41 + 49 + 287 + 2009 = 2394. Without 2009 itself that is 385, so 2009 is a deficient number.

LaTeX source of the formulas on this page

\[ 2009 = 7^{2} \times 41 \]

What are the factors of 2009?

The factors of 2009 are 1, 7, 41, 49, 287, 2009. It has 6 factors.

What are the prime factors of 2009?

7, 41. As a product: $7^{2}$ × 41.

How many factors does 2009 have?

2009 has 6 factors (3 factor pairs).

What is the sum of the factors of 2009?

2394.

Is 2009 a prime number?

No. It is divisible by 7, so 2009 = 7 × 287.