Is 5040 a prime number?
No, 5040 is not a prime number. It is divisible by 2: 5040 = 2 × 2520.
Is 5040 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 √5040 ≈ 70.99. If none of them divides 5040, it is prime.
- 3
2 divides 5040 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5040 = 2^{4} \times 3^{2} \times 5 \times 7 \]Testing 5040 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5040 ÷ 2 | divides exactly (2520) |
| 3 | 5040 ÷ 3 | divides exactly (1680) |
| 5 | 5040 ÷ 5 | divides exactly (1008) |
| 7 | 5040 ÷ 7 | divides exactly (720) |
| 11 | 5040 ÷ 11 | leaves 2 |
| 13 | 5040 ÷ 13 | leaves 9 |
| 17 | 5040 ÷ 17 | leaves 8 |
| 19 | 5040 ÷ 19 | leaves 5 |
| 23 | 5040 ÷ 23 | leaves 3 |
| 29 | 5040 ÷ 29 | leaves 23 |
| 31 | 5040 ÷ 31 | leaves 18 |
| 37 | 5040 ÷ 37 | leaves 8 |
Questions
Is 5040 a prime number?
No, 5040 is not a prime number. It is divisible by 2: 5040 = 2 × 2520.
What is the next prime after 5040?
5051.
What is the prime number before 5040?
5039.
What are the factors of 5040?
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.