Factors of 8002

The factors of 8002 are 1, 2, 4001, 8002. It has 4 factors.

Factors of 8002

Pick any whole number from 1 to 10,000.

8002 = 2 \times 4001

How to work it out

1
A factor of 8002 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8002 ≈ 89.45; 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.
$8002 = 2 \times 4001$
4
Add all the factors: 1 + 2 + 4001 + 8002 = 12006. Without 8002 itself that is 4004, so 8002 is a deficient number.

LaTeX source of the formulas on this page

\[ 8002 = 2 \times 4001 \]

Factor	Pairs with	Product
1	8002	1 × 8002 = 8002
2	4001	2 × 4001 = 8002

What are the factors of 8002?

The factors of 8002 are 1, 2, 4001, 8002. It has 4 factors.

What are the prime factors of 8002?

2, 4001. As a product: 2 × 4001.

How many factors does 8002 have?

8002 has 4 factors (2 factor pairs).

What is the sum of the factors of 8002?

12006.

Is 8002 a prime number?

No. It is divisible by 2, so 8002 = 2 × 4001.