Factors of 8006

The factors of 8006 are 1, 2, 4003, 8006. It has 4 factors.

Factors of 8006

Pick any whole number from 1 to 10,000.

8006 = 2 \times 4003

How to work it out

1
A factor of 8006 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8006 ≈ 89.48; 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.
$8006 = 2 \times 4003$
4
Add all the factors: 1 + 2 + 4003 + 8006 = 12012. Without 8006 itself that is 4006, so 8006 is a deficient number.

LaTeX source of the formulas on this page

\[ 8006 = 2 \times 4003 \]

Factor	Pairs with	Product
1	8006	1 × 8006 = 8006
2	4003	2 × 4003 = 8006

What are the factors of 8006?

The factors of 8006 are 1, 2, 4003, 8006. It has 4 factors.

What are the prime factors of 8006?

2, 4003. As a product: 2 × 4003.

How many factors does 8006 have?

8006 has 4 factors (2 factor pairs).

What is the sum of the factors of 8006?

12012.

Is 8006 a prime number?

No. It is divisible by 2, so 8006 = 2 × 4003.