Is 1072 a prime number?
No, 1072 is not a prime number. It is divisible by 2: 1072 = 2 × 536.
Is 1072 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 √1072 ≈ 32.74. If none of them divides 1072, it is prime.
- 3
2 divides 1072 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1072 = 2^{4} \times 67 \]Testing 1072 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1072 ÷ 2 | divides exactly (536) |
| 3 | 1072 ÷ 3 | leaves 1 |
| 5 | 1072 ÷ 5 | leaves 2 |
| 7 | 1072 ÷ 7 | leaves 1 |
| 11 | 1072 ÷ 11 | leaves 5 |
| 13 | 1072 ÷ 13 | leaves 6 |
| 17 | 1072 ÷ 17 | leaves 1 |
| 19 | 1072 ÷ 19 | leaves 8 |
| 23 | 1072 ÷ 23 | leaves 14 |
| 29 | 1072 ÷ 29 | leaves 28 |
| 31 | 1072 ÷ 31 | leaves 18 |
Questions
Is 1072 a prime number?
No, 1072 is not a prime number. It is divisible by 2: 1072 = 2 × 536.
What is the next prime after 1072?
1087.
What is the prime number before 1072?
1069.
What are the factors of 1072?
1, 2, 4, 8, 16, 67, 134, 268, 536, 1072.