Is 1250 a prime number?
No, 1250 is not a prime number. It is divisible by 2: 1250 = 2 × 625.
Is 1250 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 √1250 ≈ 35.36. If none of them divides 1250, it is prime.
- 3
2 divides 1250 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1250 = 2 \times 5^{4} \]Testing 1250 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1250 ÷ 2 | divides exactly (625) |
| 3 | 1250 ÷ 3 | leaves 2 |
| 5 | 1250 ÷ 5 | divides exactly (250) |
| 7 | 1250 ÷ 7 | leaves 4 |
| 11 | 1250 ÷ 11 | leaves 7 |
| 13 | 1250 ÷ 13 | leaves 2 |
| 17 | 1250 ÷ 17 | leaves 9 |
| 19 | 1250 ÷ 19 | leaves 15 |
| 23 | 1250 ÷ 23 | leaves 8 |
| 29 | 1250 ÷ 29 | leaves 3 |
| 31 | 1250 ÷ 31 | leaves 10 |
Questions
Is 1250 a prime number?
No, 1250 is not a prime number. It is divisible by 2: 1250 = 2 × 625.
What is the next prime after 1250?
1259.
What is the prime number before 1250?
1249.
What are the factors of 1250?
1, 2, 5, 10, 25, 50, 125, 250, 625, 1250.