Factors of 8001
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8001 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8001 ≈ 89.45; 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 + 7 + 9 + 21 + 63 + 127 + 381 + 889 + 1143 + 2667 + 8001 = 13312. Without 8001 itself that is 5311, so 8001 is a deficient number.
LaTeX source of the formulas on this page
\[ 8001 = 3^{2} \times 7 \times 127 \]Factor pairs of 8001
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8001 | 1 × 8001 = 8001 |
| 3 | 2667 | 3 × 2667 = 8001 |
| 7 | 1143 | 7 × 1143 = 8001 |
| 9 | 889 | 9 × 889 = 8001 |
| 21 | 381 | 21 × 381 = 8001 |
| 63 | 127 | 63 × 127 = 8001 |
Questions
What are the factors of 8001?
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001. It has 12 factors.
What are the prime factors of 8001?
3, 7, 127. As a product: × 7 × 127.
How many factors does 8001 have?
8001 has 12 factors (6 factor pairs).
What is the sum of the factors of 8001?
13312.
Is 8001 a prime number?
No. It is divisible by 3, so 8001 = 3 × 2667.