Is 5013 a prime number?
No, 5013 is not a prime number. It is divisible by 3: 5013 = 3 × 1671.
Is 5013 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 √5013 ≈ 70.80. If none of them divides 5013, it is prime.
- 3
3 divides 5013 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5013 = 3^{2} \times 557 \]Testing 5013 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5013 ÷ 2 | leaves 1 |
| 3 | 5013 ÷ 3 | divides exactly (1671) |
| 5 | 5013 ÷ 5 | leaves 3 |
| 7 | 5013 ÷ 7 | leaves 1 |
| 11 | 5013 ÷ 11 | leaves 8 |
| 13 | 5013 ÷ 13 | leaves 8 |
| 17 | 5013 ÷ 17 | leaves 15 |
| 19 | 5013 ÷ 19 | leaves 16 |
| 23 | 5013 ÷ 23 | leaves 22 |
| 29 | 5013 ÷ 29 | leaves 25 |
| 31 | 5013 ÷ 31 | leaves 22 |
| 37 | 5013 ÷ 37 | leaves 18 |
Questions
Is 5013 a prime number?
No, 5013 is not a prime number. It is divisible by 3: 5013 = 3 × 1671.
What is the next prime after 5013?
5021.
What is the prime number before 5013?
5011.
What are the factors of 5013?
1, 3, 9, 557, 1671, 5013.