Is 949 a prime number?
No, 949 is not a prime number. It is divisible by 13: 949 = 13 × 73.
Is 949 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 √949 ≈ 30.81. If none of them divides 949, it is prime.
- 3
13 divides 949 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 949 = 13 \times 73 \]
Testing 949 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 949 ÷ 2 | leaves 1 |
| 3 | 949 ÷ 3 | leaves 1 |
| 5 | 949 ÷ 5 | leaves 4 |
| 7 | 949 ÷ 7 | leaves 4 |
| 11 | 949 ÷ 11 | leaves 3 |
| 13 | 949 ÷ 13 | divides exactly (73) |
| 17 | 949 ÷ 17 | leaves 14 |
| 19 | 949 ÷ 19 | leaves 18 |
| 23 | 949 ÷ 23 | leaves 6 |
| 29 | 949 ÷ 29 | leaves 21 |
Questions
Is 949 a prime number?
No, 949 is not a prime number. It is divisible by 13: 949 = 13 × 73.
What is the next prime after 949?
953.
What is the prime number before 949?
947.
What are the factors of 949?
1, 13, 73, 949.