Is 4743 a prime number?
No, 4743 is not a prime number. It is divisible by 3: 4743 = 3 × 1581.
Is 4743 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 √4743 ≈ 68.87. If none of them divides 4743, it is prime.
- 3
3 divides 4743 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4743 = 3^{2} \times 17 \times 31 \]Testing 4743 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4743 ÷ 2 | leaves 1 |
| 3 | 4743 ÷ 3 | divides exactly (1581) |
| 5 | 4743 ÷ 5 | leaves 3 |
| 7 | 4743 ÷ 7 | leaves 4 |
| 11 | 4743 ÷ 11 | leaves 2 |
| 13 | 4743 ÷ 13 | leaves 11 |
| 17 | 4743 ÷ 17 | divides exactly (279) |
| 19 | 4743 ÷ 19 | leaves 12 |
| 23 | 4743 ÷ 23 | leaves 5 |
| 29 | 4743 ÷ 29 | leaves 16 |
| 31 | 4743 ÷ 31 | divides exactly (153) |
| 37 | 4743 ÷ 37 | leaves 7 |
Questions
Is 4743 a prime number?
No, 4743 is not a prime number. It is divisible by 3: 4743 = 3 × 1581.
What is the next prime after 4743?
4751.
What is the prime number before 4743?
4733.
What are the factors of 4743?
1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581, 4743.