Is 1007 a prime number?
No, 1007 is not a prime number. It is divisible by 19: 1007 = 19 × 53.
Is 1007 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 √1007 ≈ 31.73. If none of them divides 1007, it is prime.
- 3
19 divides 1007 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1007 = 19 \times 53 \]
Testing 1007 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1007 ÷ 2 | leaves 1 |
| 3 | 1007 ÷ 3 | leaves 2 |
| 5 | 1007 ÷ 5 | leaves 2 |
| 7 | 1007 ÷ 7 | leaves 6 |
| 11 | 1007 ÷ 11 | leaves 6 |
| 13 | 1007 ÷ 13 | leaves 6 |
| 17 | 1007 ÷ 17 | leaves 4 |
| 19 | 1007 ÷ 19 | divides exactly (53) |
| 23 | 1007 ÷ 23 | leaves 18 |
| 29 | 1007 ÷ 29 | leaves 21 |
| 31 | 1007 ÷ 31 | leaves 15 |
Questions
Is 1007 a prime number?
No, 1007 is not a prime number. It is divisible by 19: 1007 = 19 × 53.
What is the next prime after 1007?
1009.
What is the prime number before 1007?
997.
What are the factors of 1007?
1, 19, 53, 1007.