Is 1248 a prime number?
No, 1248 is not a prime number. It is divisible by 2: 1248 = 2 × 624.
Is 1248 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 √1248 ≈ 35.33. If none of them divides 1248, it is prime.
- 3
2 divides 1248 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1248 = 2^{5} \times 3 \times 13 \]Testing 1248 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1248 ÷ 2 | divides exactly (624) |
| 3 | 1248 ÷ 3 | divides exactly (416) |
| 5 | 1248 ÷ 5 | leaves 3 |
| 7 | 1248 ÷ 7 | leaves 2 |
| 11 | 1248 ÷ 11 | leaves 5 |
| 13 | 1248 ÷ 13 | divides exactly (96) |
| 17 | 1248 ÷ 17 | leaves 7 |
| 19 | 1248 ÷ 19 | leaves 13 |
| 23 | 1248 ÷ 23 | leaves 6 |
| 29 | 1248 ÷ 29 | leaves 1 |
| 31 | 1248 ÷ 31 | leaves 8 |
Questions
Is 1248 a prime number?
No, 1248 is not a prime number. It is divisible by 2: 1248 = 2 × 624.
What is the next prime after 1248?
1249.
What is the prime number before 1248?
1237.
What are the factors of 1248?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.