Is 1001 a prime number?
No, 1001 is not a prime number. It is divisible by 7: 1001 = 7 × 143.
Is 1001 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √1001 ≈ 31.64. If none of them divides 1001, it is prime.
- 3
7 divides 1001 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1001 = 7 \times 11 \times 13 \]
Testing 1001 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1001 ÷ 2 | leaves 1 |
| 3 | 1001 ÷ 3 | leaves 2 |
| 5 | 1001 ÷ 5 | leaves 1 |
| 7 | 1001 ÷ 7 | divides exactly (143) |
| 11 | 1001 ÷ 11 | divides exactly (91) |
| 13 | 1001 ÷ 13 | divides exactly (77) |
| 17 | 1001 ÷ 17 | leaves 15 |
| 19 | 1001 ÷ 19 | leaves 13 |
| 23 | 1001 ÷ 23 | leaves 12 |
| 29 | 1001 ÷ 29 | leaves 15 |
| 31 | 1001 ÷ 31 | leaves 9 |
Questions
Is 1001 a prime number?
No, 1001 is not a prime number. It is divisible by 7: 1001 = 7 × 143.
What is the next prime after 1001?
1009.
What is the prime number before 1001?
997.
What are the factors of 1001?
1, 7, 11, 13, 77, 91, 143, 1001.