Is 4997 a prime number?
No, 4997 is not a prime number. It is divisible by 19: 4997 = 19 × 263.
Is 4997 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 √4997 ≈ 70.69. If none of them divides 4997, it is prime.
- 3
19 divides 4997 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4997 = 19 \times 263 \]
Testing 4997 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4997 ÷ 2 | leaves 1 |
| 3 | 4997 ÷ 3 | leaves 2 |
| 5 | 4997 ÷ 5 | leaves 2 |
| 7 | 4997 ÷ 7 | leaves 6 |
| 11 | 4997 ÷ 11 | leaves 3 |
| 13 | 4997 ÷ 13 | leaves 5 |
| 17 | 4997 ÷ 17 | leaves 16 |
| 19 | 4997 ÷ 19 | divides exactly (263) |
| 23 | 4997 ÷ 23 | leaves 6 |
| 29 | 4997 ÷ 29 | leaves 9 |
| 31 | 4997 ÷ 31 | leaves 6 |
| 37 | 4997 ÷ 37 | leaves 2 |
Questions
Is 4997 a prime number?
No, 4997 is not a prime number. It is divisible by 19: 4997 = 19 × 263.
What is the next prime after 4997?
4999.
What is the prime number before 4997?
4993.
What are the factors of 4997?
1, 19, 263, 4997.