Is 749 a prime number?
No, 749 is not a prime number. It is divisible by 7: 749 = 7 × 107.
Is 749 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 √749 ≈ 27.37. If none of them divides 749, it is prime.
- 3
7 divides 749 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 749 = 7 \times 107 \]
Testing 749 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 749 ÷ 2 | leaves 1 |
| 3 | 749 ÷ 3 | leaves 2 |
| 5 | 749 ÷ 5 | leaves 4 |
| 7 | 749 ÷ 7 | divides exactly (107) |
| 11 | 749 ÷ 11 | leaves 1 |
| 13 | 749 ÷ 13 | leaves 8 |
| 17 | 749 ÷ 17 | leaves 1 |
| 19 | 749 ÷ 19 | leaves 8 |
| 23 | 749 ÷ 23 | leaves 13 |
Questions
Is 749 a prime number?
No, 749 is not a prime number. It is divisible by 7: 749 = 7 × 107.
What is the next prime after 749?
751.
What is the prime number before 749?
743.
What are the factors of 749?
1, 7, 107, 749.