Is 1604 a prime number?
No, 1604 is not a prime number. It is divisible by 2: 1604 = 2 × 802.
Is 1604 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 √1604 ≈ 40.05. If none of them divides 1604, it is prime.
- 3
2 divides 1604 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1604 = 2^{2} \times 401 \]Testing 1604 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1604 ÷ 2 | divides exactly (802) |
| 3 | 1604 ÷ 3 | leaves 2 |
| 5 | 1604 ÷ 5 | leaves 4 |
| 7 | 1604 ÷ 7 | leaves 1 |
| 11 | 1604 ÷ 11 | leaves 9 |
| 13 | 1604 ÷ 13 | leaves 5 |
| 17 | 1604 ÷ 17 | leaves 6 |
| 19 | 1604 ÷ 19 | leaves 8 |
| 23 | 1604 ÷ 23 | leaves 17 |
| 29 | 1604 ÷ 29 | leaves 9 |
| 31 | 1604 ÷ 31 | leaves 23 |
| 37 | 1604 ÷ 37 | leaves 13 |
Questions
Is 1604 a prime number?
No, 1604 is not a prime number. It is divisible by 2: 1604 = 2 × 802.
What is the next prime after 1604?
1607.
What is the prime number before 1604?
1601.
What are the factors of 1604?
1, 2, 4, 401, 802, 1604.