Is 1628 a prime number?
No, 1628 is not a prime number. It is divisible by 2: 1628 = 2 × 814.
Is 1628 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 √1628 ≈ 40.35. If none of them divides 1628, it is prime.
- 3
2 divides 1628 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1628 = 2^{2} \times 11 \times 37 \]Testing 1628 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1628 ÷ 2 | divides exactly (814) |
| 3 | 1628 ÷ 3 | leaves 2 |
| 5 | 1628 ÷ 5 | leaves 3 |
| 7 | 1628 ÷ 7 | leaves 4 |
| 11 | 1628 ÷ 11 | divides exactly (148) |
| 13 | 1628 ÷ 13 | leaves 3 |
| 17 | 1628 ÷ 17 | leaves 13 |
| 19 | 1628 ÷ 19 | leaves 13 |
| 23 | 1628 ÷ 23 | leaves 18 |
| 29 | 1628 ÷ 29 | leaves 4 |
| 31 | 1628 ÷ 31 | leaves 16 |
| 37 | 1628 ÷ 37 | divides exactly (44) |
Questions
Is 1628 a prime number?
No, 1628 is not a prime number. It is divisible by 2: 1628 = 2 × 814.
What is the next prime after 1628?
1637.
What is the prime number before 1628?
1627.
What are the factors of 1628?
1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628.