Is 1400 a prime number?
No, 1400 is not a prime number. It is divisible by 2: 1400 = 2 × 700.
Is 1400 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 √1400 ≈ 37.42. If none of them divides 1400, it is prime.
- 3
2 divides 1400 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1400 = 2^{3} \times 5^{2} \times 7 \]Testing 1400 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1400 ÷ 2 | divides exactly (700) |
| 3 | 1400 ÷ 3 | leaves 2 |
| 5 | 1400 ÷ 5 | divides exactly (280) |
| 7 | 1400 ÷ 7 | divides exactly (200) |
| 11 | 1400 ÷ 11 | leaves 3 |
| 13 | 1400 ÷ 13 | leaves 9 |
| 17 | 1400 ÷ 17 | leaves 6 |
| 19 | 1400 ÷ 19 | leaves 13 |
| 23 | 1400 ÷ 23 | leaves 20 |
| 29 | 1400 ÷ 29 | leaves 8 |
| 31 | 1400 ÷ 31 | leaves 5 |
| 37 | 1400 ÷ 37 | leaves 31 |
Questions
Is 1400 a prime number?
No, 1400 is not a prime number. It is divisible by 2: 1400 = 2 × 700.
What is the next prime after 1400?
1409.
What is the prime number before 1400?
1399.
What are the factors of 1400?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400.