Is 1052 a prime number?
No, 1052 is not a prime number. It is divisible by 2: 1052 = 2 × 526.
Is 1052 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 √1052 ≈ 32.43. If none of them divides 1052, it is prime.
- 3
2 divides 1052 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1052 = 2^{2} \times 263 \]Testing 1052 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1052 ÷ 2 | divides exactly (526) |
| 3 | 1052 ÷ 3 | leaves 2 |
| 5 | 1052 ÷ 5 | leaves 2 |
| 7 | 1052 ÷ 7 | leaves 2 |
| 11 | 1052 ÷ 11 | leaves 7 |
| 13 | 1052 ÷ 13 | leaves 12 |
| 17 | 1052 ÷ 17 | leaves 15 |
| 19 | 1052 ÷ 19 | leaves 7 |
| 23 | 1052 ÷ 23 | leaves 17 |
| 29 | 1052 ÷ 29 | leaves 8 |
| 31 | 1052 ÷ 31 | leaves 29 |
Questions
Is 1052 a prime number?
No, 1052 is not a prime number. It is divisible by 2: 1052 = 2 × 526.
What is the next prime after 1052?
1061.
What is the prime number before 1052?
1051.
What are the factors of 1052?
1, 2, 4, 263, 526, 1052.