Is 1300 a prime number?
No, 1300 is not a prime number. It is divisible by 2: 1300 = 2 × 650.
Is 1300 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 √1300 ≈ 36.06. If none of them divides 1300, it is prime.
- 3
2 divides 1300 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1300 = 2^{2} \times 5^{2} \times 13 \]Testing 1300 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1300 ÷ 2 | divides exactly (650) |
| 3 | 1300 ÷ 3 | leaves 1 |
| 5 | 1300 ÷ 5 | divides exactly (260) |
| 7 | 1300 ÷ 7 | leaves 5 |
| 11 | 1300 ÷ 11 | leaves 2 |
| 13 | 1300 ÷ 13 | divides exactly (100) |
| 17 | 1300 ÷ 17 | leaves 8 |
| 19 | 1300 ÷ 19 | leaves 8 |
| 23 | 1300 ÷ 23 | leaves 12 |
| 29 | 1300 ÷ 29 | leaves 24 |
| 31 | 1300 ÷ 31 | leaves 29 |
Questions
Is 1300 a prime number?
No, 1300 is not a prime number. It is divisible by 2: 1300 = 2 × 650.
What is the next prime after 1300?
1301.
What is the prime number before 1300?
1297.
What are the factors of 1300?
1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300.