Is 748 a prime number?
No, 748 is not a prime number. It is divisible by 2: 748 = 2 × 374.
Is 748 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 √748 ≈ 27.35. If none of them divides 748, it is prime.
- 3
2 divides 748 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 748 = 2^{2} \times 11 \times 17 \]Testing 748 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 748 ÷ 2 | divides exactly (374) |
| 3 | 748 ÷ 3 | leaves 1 |
| 5 | 748 ÷ 5 | leaves 3 |
| 7 | 748 ÷ 7 | leaves 6 |
| 11 | 748 ÷ 11 | divides exactly (68) |
| 13 | 748 ÷ 13 | leaves 7 |
| 17 | 748 ÷ 17 | divides exactly (44) |
| 19 | 748 ÷ 19 | leaves 7 |
| 23 | 748 ÷ 23 | leaves 12 |
Questions
Is 748 a prime number?
No, 748 is not a prime number. It is divisible by 2: 748 = 2 × 374.
What is the next prime after 748?
751.
What is the prime number before 748?
743.
What are the factors of 748?
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748.