Is 1053 a prime number?
No, 1053 is not a prime number. It is divisible by 3: 1053 = 3 × 351.
Is 1053 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 √1053 ≈ 32.45. If none of them divides 1053, it is prime.
- 3
3 divides 1053 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1053 = 3^{4} \times 13 \]Testing 1053 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1053 ÷ 2 | leaves 1 |
| 3 | 1053 ÷ 3 | divides exactly (351) |
| 5 | 1053 ÷ 5 | leaves 3 |
| 7 | 1053 ÷ 7 | leaves 3 |
| 11 | 1053 ÷ 11 | leaves 8 |
| 13 | 1053 ÷ 13 | divides exactly (81) |
| 17 | 1053 ÷ 17 | leaves 16 |
| 19 | 1053 ÷ 19 | leaves 8 |
| 23 | 1053 ÷ 23 | leaves 18 |
| 29 | 1053 ÷ 29 | leaves 9 |
| 31 | 1053 ÷ 31 | leaves 30 |
Questions
Is 1053 a prime number?
No, 1053 is not a prime number. It is divisible by 3: 1053 = 3 × 351.
What is the next prime after 1053?
1061.
What is the prime number before 1053?
1051.
What are the factors of 1053?
1, 3, 9, 13, 27, 39, 81, 117, 351, 1053.