Factors of 6003
The factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6003 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6003 ≈ 77.48; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 9 + 23 + 29 + 69 + 87 + 207 + 261 + 667 + 2001 + 6003 = 9360. Without 6003 itself that is 3357, so 6003 is a deficient number.
LaTeX source of the formulas on this page
\[ 6003 = 3^{2} \times 23 \times 29 \]Factor pairs of 6003
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6003 | 1 × 6003 = 6003 |
| 3 | 2001 | 3 × 2001 = 6003 |
| 9 | 667 | 9 × 667 = 6003 |
| 23 | 261 | 23 × 261 = 6003 |
| 29 | 207 | 29 × 207 = 6003 |
| 69 | 87 | 69 × 87 = 6003 |
Questions
What are the factors of 6003?
The factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. It has 12 factors.
What are the prime factors of 6003?
3, 23, 29. As a product: × 23 × 29.
How many factors does 6003 have?
6003 has 12 factors (6 factor pairs).
What is the sum of the factors of 6003?
9360.
Is 6003 a prime number?
No. It is divisible by 3, so 6003 = 3 × 2001.