Is 1012 a prime number?
No, 1012 is not a prime number. It is divisible by 2: 1012 = 2 × 506.
Is 1012 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 √1012 ≈ 31.81. If none of them divides 1012, it is prime.
- 3
2 divides 1012 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1012 = 2^{2} \times 11 \times 23 \]Testing 1012 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1012 ÷ 2 | divides exactly (506) |
| 3 | 1012 ÷ 3 | leaves 1 |
| 5 | 1012 ÷ 5 | leaves 2 |
| 7 | 1012 ÷ 7 | leaves 4 |
| 11 | 1012 ÷ 11 | divides exactly (92) |
| 13 | 1012 ÷ 13 | leaves 11 |
| 17 | 1012 ÷ 17 | leaves 9 |
| 19 | 1012 ÷ 19 | leaves 5 |
| 23 | 1012 ÷ 23 | divides exactly (44) |
| 29 | 1012 ÷ 29 | leaves 26 |
| 31 | 1012 ÷ 31 | leaves 20 |
Questions
Is 1012 a prime number?
No, 1012 is not a prime number. It is divisible by 2: 1012 = 2 × 506.
What is the next prime after 1012?
1013.
What is the prime number before 1012?
1009.
What are the factors of 1012?
1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012.