Factors of 5040
The factors of 5040 are 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. It has 60 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5040 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5040 ≈ 70.99; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 60 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19344. Without 5040 itself that is 14304, so 5040 is an abundant number.
LaTeX source of the formulas on this page
\[ 5040 = 2^{4} \times 3^{2} \times 5 \times 7 \]Factor pairs of 5040
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5040 | 1 × 5040 = 5040 |
| 2 | 2520 | 2 × 2520 = 5040 |
| 3 | 1680 | 3 × 1680 = 5040 |
| 4 | 1260 | 4 × 1260 = 5040 |
| 5 | 1008 | 5 × 1008 = 5040 |
| 6 | 840 | 6 × 840 = 5040 |
| 7 | 720 | 7 × 720 = 5040 |
| 8 | 630 | 8 × 630 = 5040 |
| 9 | 560 | 9 × 560 = 5040 |
| 10 | 504 | 10 × 504 = 5040 |
| 12 | 420 | 12 × 420 = 5040 |
| 14 | 360 | 14 × 360 = 5040 |
| 15 | 336 | 15 × 336 = 5040 |
| 16 | 315 | 16 × 315 = 5040 |
| 18 | 280 | 18 × 280 = 5040 |
| 20 | 252 | 20 × 252 = 5040 |
| 21 | 240 | 21 × 240 = 5040 |
| 24 | 210 | 24 × 210 = 5040 |
| 28 | 180 | 28 × 180 = 5040 |
| 30 | 168 | 30 × 168 = 5040 |
| 35 | 144 | 35 × 144 = 5040 |
| 36 | 140 | 36 × 140 = 5040 |
| 40 | 126 | 40 × 126 = 5040 |
| 42 | 120 | 42 × 120 = 5040 |
| 45 | 112 | 45 × 112 = 5040 |
| 48 | 105 | 48 × 105 = 5040 |
| 56 | 90 | 56 × 90 = 5040 |
| 60 | 84 | 60 × 84 = 5040 |
| 63 | 80 | 63 × 80 = 5040 |
| 70 | 72 | 70 × 72 = 5040 |
Questions
What are the factors of 5040?
The factors of 5040 are 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. It has 60 factors.
What are the prime factors of 5040?
2, 3, 5, 7. As a product: × × 5 × 7.
How many factors does 5040 have?
5040 has 60 factors (30 factor pairs).
What is the sum of the factors of 5040?
19344.
Is 5040 a prime number?
No. It is divisible by 2, so 5040 = 2 × 2520.