Is 4748 a prime number?
No, 4748 is not a prime number. It is divisible by 2: 4748 = 2 × 2374.
Is 4748 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 √4748 ≈ 68.91. If none of them divides 4748, it is prime.
- 3
2 divides 4748 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4748 = 2^{2} \times 1187 \]Testing 4748 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4748 ÷ 2 | divides exactly (2374) |
| 3 | 4748 ÷ 3 | leaves 2 |
| 5 | 4748 ÷ 5 | leaves 3 |
| 7 | 4748 ÷ 7 | leaves 2 |
| 11 | 4748 ÷ 11 | leaves 7 |
| 13 | 4748 ÷ 13 | leaves 3 |
| 17 | 4748 ÷ 17 | leaves 5 |
| 19 | 4748 ÷ 19 | leaves 17 |
| 23 | 4748 ÷ 23 | leaves 10 |
| 29 | 4748 ÷ 29 | leaves 21 |
| 31 | 4748 ÷ 31 | leaves 5 |
| 37 | 4748 ÷ 37 | leaves 12 |
Questions
Is 4748 a prime number?
No, 4748 is not a prime number. It is divisible by 2: 4748 = 2 × 2374.
What is the next prime after 4748?
4751.
What is the prime number before 4748?
4733.
What are the factors of 4748?
1, 2, 4, 1187, 2374, 4748.