Factors of 2001
The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2001 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2001 ≈ 44.73; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 23 + 29 + 69 + 87 + 667 + 2001 = 2880. Without 2001 itself that is 879, so 2001 is a deficient number.
LaTeX source of the formulas on this page
\[ 2001 = 3 \times 23 \times 29 \]
Factor pairs of 2001
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2001 | 1 × 2001 = 2001 |
| 3 | 667 | 3 × 667 = 2001 |
| 23 | 87 | 23 × 87 = 2001 |
| 29 | 69 | 29 × 69 = 2001 |
Questions
What are the factors of 2001?
The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001. It has 8 factors.
What are the prime factors of 2001?
3, 23, 29. As a product: 3 × 23 × 29.
How many factors does 2001 have?
2001 has 8 factors (4 factor pairs).
What is the sum of the factors of 2001?
2880.
Is 2001 a prime number?
No. It is divisible by 3, so 2001 = 3 × 667.