Is 1764 a prime number?
No, 1764 is not a prime number. It is divisible by 2: 1764 = 2 × 882.
Is 1764 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 √1764 ≈ 42.00. If none of them divides 1764, it is prime.
- 3
2 divides 1764 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1764 = 2^{2} \times 3^{2} \times 7^{2} \]Testing 1764 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1764 ÷ 2 | divides exactly (882) |
| 3 | 1764 ÷ 3 | divides exactly (588) |
| 5 | 1764 ÷ 5 | leaves 4 |
| 7 | 1764 ÷ 7 | divides exactly (252) |
| 11 | 1764 ÷ 11 | leaves 4 |
| 13 | 1764 ÷ 13 | leaves 9 |
| 17 | 1764 ÷ 17 | leaves 13 |
| 19 | 1764 ÷ 19 | leaves 16 |
| 23 | 1764 ÷ 23 | leaves 16 |
| 29 | 1764 ÷ 29 | leaves 24 |
| 31 | 1764 ÷ 31 | leaves 28 |
| 37 | 1764 ÷ 37 | leaves 25 |
Questions
Is 1764 a prime number?
No, 1764 is not a prime number. It is divisible by 2: 1764 = 2 × 882.
What is the next prime after 1764?
1777.
What is the prime number before 1764?
1759.
What are the factors of 1764?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764.