Is 1014 a prime number?
No, 1014 is not a prime number. It is divisible by 2: 1014 = 2 × 507.
Is 1014 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 √1014 ≈ 31.84. If none of them divides 1014, it is prime.
- 3
2 divides 1014 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1014 = 2 \times 3 \times 13^{2} \]Testing 1014 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1014 ÷ 2 | divides exactly (507) |
| 3 | 1014 ÷ 3 | divides exactly (338) |
| 5 | 1014 ÷ 5 | leaves 4 |
| 7 | 1014 ÷ 7 | leaves 6 |
| 11 | 1014 ÷ 11 | leaves 2 |
| 13 | 1014 ÷ 13 | divides exactly (78) |
| 17 | 1014 ÷ 17 | leaves 11 |
| 19 | 1014 ÷ 19 | leaves 7 |
| 23 | 1014 ÷ 23 | leaves 2 |
| 29 | 1014 ÷ 29 | leaves 28 |
| 31 | 1014 ÷ 31 | leaves 22 |
Questions
Is 1014 a prime number?
No, 1014 is not a prime number. It is divisible by 2: 1014 = 2 × 507.
What is the next prime after 1014?
1019.
What is the prime number before 1014?
1013.
What are the factors of 1014?
1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014.