Is 1029 a prime number?
No, 1029 is not a prime number. It is divisible by 3: 1029 = 3 × 343.
Is 1029 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 √1029 ≈ 32.08. If none of them divides 1029, it is prime.
- 3
3 divides 1029 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1029 = 3 \times 7^{3} \]Testing 1029 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1029 ÷ 2 | leaves 1 |
| 3 | 1029 ÷ 3 | divides exactly (343) |
| 5 | 1029 ÷ 5 | leaves 4 |
| 7 | 1029 ÷ 7 | divides exactly (147) |
| 11 | 1029 ÷ 11 | leaves 6 |
| 13 | 1029 ÷ 13 | leaves 2 |
| 17 | 1029 ÷ 17 | leaves 9 |
| 19 | 1029 ÷ 19 | leaves 3 |
| 23 | 1029 ÷ 23 | leaves 17 |
| 29 | 1029 ÷ 29 | leaves 14 |
| 31 | 1029 ÷ 31 | leaves 6 |
Questions
Is 1029 a prime number?
No, 1029 is not a prime number. It is divisible by 3: 1029 = 3 × 343.
What is the next prime after 1029?
1031.
What is the prime number before 1029?
1021.
What are the factors of 1029?
1, 3, 7, 21, 49, 147, 343, 1029.