Factors of 3003
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3003 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3003 ≈ 54.80; 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 5376. Without 3003 itself that is 2373, so 3003 is a deficient number.
LaTeX source of the formulas on this page
\[ 3003 = 3 \times 7 \times 11 \times 13 \]
Factor pairs of 3003
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3003 | 1 × 3003 = 3003 |
| 3 | 1001 | 3 × 1001 = 3003 |
| 7 | 429 | 7 × 429 = 3003 |
| 11 | 273 | 11 × 273 = 3003 |
| 13 | 231 | 13 × 231 = 3003 |
| 21 | 143 | 21 × 143 = 3003 |
| 33 | 91 | 33 × 91 = 3003 |
| 39 | 77 | 39 × 77 = 3003 |
Questions
What are the factors of 3003?
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003. It has 16 factors.
What are the prime factors of 3003?
3, 7, 11, 13. As a product: 3 × 7 × 11 × 13.
How many factors does 3003 have?
3003 has 16 factors (8 factor pairs).
What is the sum of the factors of 3003?
5376.
Is 3003 a prime number?
No. It is divisible by 3, so 3003 = 3 × 1001.