Is 1629 a prime number?
No, 1629 is not a prime number. It is divisible by 3: 1629 = 3 × 543.
Is 1629 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 √1629 ≈ 40.36. If none of them divides 1629, it is prime.
- 3
3 divides 1629 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1629 = 3^{2} \times 181 \]Testing 1629 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1629 ÷ 2 | leaves 1 |
| 3 | 1629 ÷ 3 | divides exactly (543) |
| 5 | 1629 ÷ 5 | leaves 4 |
| 7 | 1629 ÷ 7 | leaves 5 |
| 11 | 1629 ÷ 11 | leaves 1 |
| 13 | 1629 ÷ 13 | leaves 4 |
| 17 | 1629 ÷ 17 | leaves 14 |
| 19 | 1629 ÷ 19 | leaves 14 |
| 23 | 1629 ÷ 23 | leaves 19 |
| 29 | 1629 ÷ 29 | leaves 5 |
| 31 | 1629 ÷ 31 | leaves 17 |
| 37 | 1629 ÷ 37 | leaves 1 |
Questions
Is 1629 a prime number?
No, 1629 is not a prime number. It is divisible by 3: 1629 = 3 × 543.
What is the next prime after 1629?
1637.
What is the prime number before 1629?
1627.
What are the factors of 1629?
1, 3, 9, 181, 543, 1629.