Is 513 a prime number?
No, 513 is not a prime number. It is divisible by 3: 513 = 3 × 171.
Is 513 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 √513 ≈ 22.65. If none of them divides 513, it is prime.
- 3
3 divides 513 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 513 = 3^{3} \times 19 \]Testing 513 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 513 ÷ 2 | leaves 1 |
| 3 | 513 ÷ 3 | divides exactly (171) |
| 5 | 513 ÷ 5 | leaves 3 |
| 7 | 513 ÷ 7 | leaves 2 |
| 11 | 513 ÷ 11 | leaves 7 |
| 13 | 513 ÷ 13 | leaves 6 |
| 17 | 513 ÷ 17 | leaves 3 |
| 19 | 513 ÷ 19 | divides exactly (27) |
Questions
Is 513 a prime number?
No, 513 is not a prime number. It is divisible by 3: 513 = 3 × 171.
What is the next prime after 513?
521.
What is the prime number before 513?
509.
What are the factors of 513?
1, 3, 9, 19, 27, 57, 171, 513.