Is 4747 a prime number?
No, 4747 is not a prime number. It is divisible by 47: 4747 = 47 × 101.
Is 4747 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 √4747 ≈ 68.90. If none of them divides 4747, it is prime.
- 3
47 divides 4747 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4747 = 47 \times 101 \]
Testing 4747 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4747 ÷ 2 | leaves 1 |
| 3 | 4747 ÷ 3 | leaves 1 |
| 5 | 4747 ÷ 5 | leaves 2 |
| 7 | 4747 ÷ 7 | leaves 1 |
| 11 | 4747 ÷ 11 | leaves 6 |
| 13 | 4747 ÷ 13 | leaves 2 |
| 17 | 4747 ÷ 17 | leaves 4 |
| 19 | 4747 ÷ 19 | leaves 16 |
| 23 | 4747 ÷ 23 | leaves 9 |
| 29 | 4747 ÷ 29 | leaves 20 |
| 31 | 4747 ÷ 31 | leaves 4 |
| 37 | 4747 ÷ 37 | leaves 11 |
Questions
Is 4747 a prime number?
No, 4747 is not a prime number. It is divisible by 47: 4747 = 47 × 101.
What is the next prime after 4747?
4751.
What is the prime number before 4747?
4733.
What are the factors of 4747?
1, 47, 101, 4747.