Is 1507 a prime number?
No, 1507 is not a prime number. It is divisible by 11: 1507 = 11 × 137.
Is 1507 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 √1507 ≈ 38.82. If none of them divides 1507, it is prime.
- 3
11 divides 1507 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1507 = 11 \times 137 \]
Testing 1507 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1507 ÷ 2 | leaves 1 |
| 3 | 1507 ÷ 3 | leaves 1 |
| 5 | 1507 ÷ 5 | leaves 2 |
| 7 | 1507 ÷ 7 | leaves 2 |
| 11 | 1507 ÷ 11 | divides exactly (137) |
| 13 | 1507 ÷ 13 | leaves 12 |
| 17 | 1507 ÷ 17 | leaves 11 |
| 19 | 1507 ÷ 19 | leaves 6 |
| 23 | 1507 ÷ 23 | leaves 12 |
| 29 | 1507 ÷ 29 | leaves 28 |
| 31 | 1507 ÷ 31 | leaves 19 |
| 37 | 1507 ÷ 37 | leaves 27 |
Questions
Is 1507 a prime number?
No, 1507 is not a prime number. It is divisible by 11: 1507 = 11 × 137.
What is the next prime after 1507?
1511.
What is the prime number before 1507?
1499.
What are the factors of 1507?
1, 11, 137, 1507.