Is 7440 a prime number?
No, 7440 is not a prime number. It is divisible by 2: 7440 = 2 × 3720.
Is 7440 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 √7440 ≈ 86.26. If none of them divides 7440, it is prime.
- 3
2 divides 7440 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7440 = 2^{4} \times 3 \times 5 \times 31 \]Testing 7440 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7440 ÷ 2 | divides exactly (3720) |
| 3 | 7440 ÷ 3 | divides exactly (2480) |
| 5 | 7440 ÷ 5 | divides exactly (1488) |
| 7 | 7440 ÷ 7 | leaves 6 |
| 11 | 7440 ÷ 11 | leaves 4 |
| 13 | 7440 ÷ 13 | leaves 4 |
| 17 | 7440 ÷ 17 | leaves 11 |
| 19 | 7440 ÷ 19 | leaves 11 |
| 23 | 7440 ÷ 23 | leaves 11 |
| 29 | 7440 ÷ 29 | leaves 16 |
| 31 | 7440 ÷ 31 | divides exactly (240) |
| 37 | 7440 ÷ 37 | leaves 3 |
Questions
Is 7440 a prime number?
No, 7440 is not a prime number. It is divisible by 2: 7440 = 2 × 3720.
What is the next prime after 7440?
7451.
What is the prime number before 7440?
7433.
What are the factors of 7440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440.