Is 1564 a prime number?
No, 1564 is not a prime number. It is divisible by 2: 1564 = 2 × 782.
Is 1564 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 √1564 ≈ 39.55. If none of them divides 1564, it is prime.
- 3
2 divides 1564 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1564 = 2^{2} \times 17 \times 23 \]Testing 1564 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1564 ÷ 2 | divides exactly (782) |
| 3 | 1564 ÷ 3 | leaves 1 |
| 5 | 1564 ÷ 5 | leaves 4 |
| 7 | 1564 ÷ 7 | leaves 3 |
| 11 | 1564 ÷ 11 | leaves 2 |
| 13 | 1564 ÷ 13 | leaves 4 |
| 17 | 1564 ÷ 17 | divides exactly (92) |
| 19 | 1564 ÷ 19 | leaves 6 |
| 23 | 1564 ÷ 23 | divides exactly (68) |
| 29 | 1564 ÷ 29 | leaves 27 |
| 31 | 1564 ÷ 31 | leaves 14 |
| 37 | 1564 ÷ 37 | leaves 10 |
Questions
Is 1564 a prime number?
No, 1564 is not a prime number. It is divisible by 2: 1564 = 2 × 782.
What is the next prime after 1564?
1567.
What is the prime number before 1564?
1559.
What are the factors of 1564?
1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564.