Is 1428 a prime number?
No, 1428 is not a prime number. It is divisible by 2: 1428 = 2 × 714.
Is 1428 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 √1428 ≈ 37.79. If none of them divides 1428, it is prime.
- 3
2 divides 1428 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1428 = 2^{2} \times 3 \times 7 \times 17 \]Testing 1428 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1428 ÷ 2 | divides exactly (714) |
| 3 | 1428 ÷ 3 | divides exactly (476) |
| 5 | 1428 ÷ 5 | leaves 3 |
| 7 | 1428 ÷ 7 | divides exactly (204) |
| 11 | 1428 ÷ 11 | leaves 9 |
| 13 | 1428 ÷ 13 | leaves 11 |
| 17 | 1428 ÷ 17 | divides exactly (84) |
| 19 | 1428 ÷ 19 | leaves 3 |
| 23 | 1428 ÷ 23 | leaves 2 |
| 29 | 1428 ÷ 29 | leaves 7 |
| 31 | 1428 ÷ 31 | leaves 2 |
| 37 | 1428 ÷ 37 | leaves 22 |
Questions
Is 1428 a prime number?
No, 1428 is not a prime number. It is divisible by 2: 1428 = 2 × 714.
What is the next prime after 1428?
1429.
What is the prime number before 1428?
1427.
What are the factors of 1428?
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428.