Is 1380 a prime number?
No, 1380 is not a prime number. It is divisible by 2: 1380 = 2 × 690.
Is 1380 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 √1380 ≈ 37.15. If none of them divides 1380, it is prime.
- 3
2 divides 1380 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1380 = 2^{2} \times 3 \times 5 \times 23 \]Testing 1380 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1380 ÷ 2 | divides exactly (690) |
| 3 | 1380 ÷ 3 | divides exactly (460) |
| 5 | 1380 ÷ 5 | divides exactly (276) |
| 7 | 1380 ÷ 7 | leaves 1 |
| 11 | 1380 ÷ 11 | leaves 5 |
| 13 | 1380 ÷ 13 | leaves 2 |
| 17 | 1380 ÷ 17 | leaves 3 |
| 19 | 1380 ÷ 19 | leaves 12 |
| 23 | 1380 ÷ 23 | divides exactly (60) |
| 29 | 1380 ÷ 29 | leaves 17 |
| 31 | 1380 ÷ 31 | leaves 16 |
| 37 | 1380 ÷ 37 | leaves 11 |
Questions
Is 1380 a prime number?
No, 1380 is not a prime number. It is divisible by 2: 1380 = 2 × 690.
What is the next prime after 1380?
1381.
What is the prime number before 1380?
1373.
What are the factors of 1380?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690, 1380.