Is 1624 a prime number?
No, 1624 is not a prime number. It is divisible by 2: 1624 = 2 × 812.
Is 1624 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 √1624 ≈ 40.30. If none of them divides 1624, it is prime.
- 3
2 divides 1624 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1624 = 2^{3} \times 7 \times 29 \]Testing 1624 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1624 ÷ 2 | divides exactly (812) |
| 3 | 1624 ÷ 3 | leaves 1 |
| 5 | 1624 ÷ 5 | leaves 4 |
| 7 | 1624 ÷ 7 | divides exactly (232) |
| 11 | 1624 ÷ 11 | leaves 7 |
| 13 | 1624 ÷ 13 | leaves 12 |
| 17 | 1624 ÷ 17 | leaves 9 |
| 19 | 1624 ÷ 19 | leaves 9 |
| 23 | 1624 ÷ 23 | leaves 14 |
| 29 | 1624 ÷ 29 | divides exactly (56) |
| 31 | 1624 ÷ 31 | leaves 12 |
| 37 | 1624 ÷ 37 | leaves 33 |
Questions
Is 1624 a prime number?
No, 1624 is not a prime number. It is divisible by 2: 1624 = 2 × 812.
What is the next prime after 1624?
1627.
What is the prime number before 1624?
1621.
What are the factors of 1624?
1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624.