Factors of 1001
The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1001 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1001 ≈ 31.64; 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 + 7 + 11 + 13 + 77 + 91 + 143 + 1001 = 1344. Without 1001 itself that is 343, so 1001 is a deficient number.
LaTeX source of the formulas on this page
\[ 1001 = 7 \times 11 \times 13 \]
Factor pairs of 1001
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1001 | 1 × 1001 = 1001 |
| 7 | 143 | 7 × 143 = 1001 |
| 11 | 91 | 11 × 91 = 1001 |
| 13 | 77 | 13 × 77 = 1001 |
Questions
What are the factors of 1001?
The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. It has 8 factors.
What are the prime factors of 1001?
7, 11, 13. As a product: 7 × 11 × 13.
How many factors does 1001 have?
1001 has 8 factors (4 factor pairs).
What is the sum of the factors of 1001?
1344.
Is 1001 a prime number?
No. It is divisible by 7, so 1001 = 7 × 143.