Factors of 2002
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2002 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2002 ≈ 44.74; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 4032. Without 2002 itself that is 2030, so 2002 is an abundant number.
LaTeX source of the formulas on this page
\[ 2002 = 2 \times 7 \times 11 \times 13 \]
Factor pairs of 2002
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2002 | 1 × 2002 = 2002 |
| 2 | 1001 | 2 × 1001 = 2002 |
| 7 | 286 | 7 × 286 = 2002 |
| 11 | 182 | 11 × 182 = 2002 |
| 13 | 154 | 13 × 154 = 2002 |
| 14 | 143 | 14 × 143 = 2002 |
| 22 | 91 | 22 × 91 = 2002 |
| 26 | 77 | 26 × 77 = 2002 |
Questions
What are the factors of 2002?
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002. It has 16 factors.
What are the prime factors of 2002?
2, 7, 11, 13. As a product: 2 × 7 × 11 × 13.
How many factors does 2002 have?
2002 has 16 factors (8 factor pairs).
What is the sum of the factors of 2002?
4032.
Is 2002 a prime number?
No. It is divisible by 2, so 2002 = 2 × 1001.