Factors of 2400
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2400 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2400 ≈ 48.99; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 7812. Without 2400 itself that is 5412, so 2400 is an abundant number.
LaTeX source of the formulas on this page
\[ 2400 = 2^{5} \times 3 \times 5^{2} \]Factor pairs of 2400
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2400 | 1 × 2400 = 2400 |
| 2 | 1200 | 2 × 1200 = 2400 |
| 3 | 800 | 3 × 800 = 2400 |
| 4 | 600 | 4 × 600 = 2400 |
| 5 | 480 | 5 × 480 = 2400 |
| 6 | 400 | 6 × 400 = 2400 |
| 8 | 300 | 8 × 300 = 2400 |
| 10 | 240 | 10 × 240 = 2400 |
| 12 | 200 | 12 × 200 = 2400 |
| 15 | 160 | 15 × 160 = 2400 |
| 16 | 150 | 16 × 150 = 2400 |
| 20 | 120 | 20 × 120 = 2400 |
| 24 | 100 | 24 × 100 = 2400 |
| 25 | 96 | 25 × 96 = 2400 |
| 30 | 80 | 30 × 80 = 2400 |
| 32 | 75 | 32 × 75 = 2400 |
| 40 | 60 | 40 × 60 = 2400 |
| 48 | 50 | 48 × 50 = 2400 |
Questions
What are the factors of 2400?
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. It has 36 factors.
What are the prime factors of 2400?
2, 3, 5. As a product: × 3 × .
How many factors does 2400 have?
2400 has 36 factors (18 factor pairs).
What is the sum of the factors of 2400?
7812.
Is 2400 a prime number?
No. It is divisible by 2, so 2400 = 2 × 1200.