Is 738 a prime number?
No, 738 is not a prime number. It is divisible by 2: 738 = 2 × 369.
Is 738 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 √738 ≈ 27.17. If none of them divides 738, it is prime.
- 3
2 divides 738 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 738 = 2 \times 3^{2} \times 41 \]Testing 738 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 738 ÷ 2 | divides exactly (369) |
| 3 | 738 ÷ 3 | divides exactly (246) |
| 5 | 738 ÷ 5 | leaves 3 |
| 7 | 738 ÷ 7 | leaves 3 |
| 11 | 738 ÷ 11 | leaves 1 |
| 13 | 738 ÷ 13 | leaves 10 |
| 17 | 738 ÷ 17 | leaves 7 |
| 19 | 738 ÷ 19 | leaves 16 |
| 23 | 738 ÷ 23 | leaves 2 |
Questions
Is 738 a prime number?
No, 738 is not a prime number. It is divisible by 2: 738 = 2 × 369.
What is the next prime after 738?
739.
What is the prime number before 738?
733.
What are the factors of 738?
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738.