Is 742 a prime number?
No, 742 is not a prime number. It is divisible by 2: 742 = 2 × 371.
Is 742 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 √742 ≈ 27.24. If none of them divides 742, it is prime.
- 3
2 divides 742 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 742 = 2 \times 7 \times 53 \]
Testing 742 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 742 ÷ 2 | divides exactly (371) |
| 3 | 742 ÷ 3 | leaves 1 |
| 5 | 742 ÷ 5 | leaves 2 |
| 7 | 742 ÷ 7 | divides exactly (106) |
| 11 | 742 ÷ 11 | leaves 5 |
| 13 | 742 ÷ 13 | leaves 1 |
| 17 | 742 ÷ 17 | leaves 11 |
| 19 | 742 ÷ 19 | leaves 1 |
| 23 | 742 ÷ 23 | leaves 6 |
Questions
Is 742 a prime number?
No, 742 is not a prime number. It is divisible by 2: 742 = 2 × 371.
What is the next prime after 742?
743.
What is the prime number before 742?
739.
What are the factors of 742?
1, 2, 7, 14, 53, 106, 371, 742.