Factors of 3600
The factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600. It has 45 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3600 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3600 ≈ 60.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 45 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 12493. Without 3600 itself that is 8893, so 3600 is an abundant number.
LaTeX source of the formulas on this page
\[ 3600 = 2^{4} \times 3^{2} \times 5^{2} \]Factor pairs of 3600
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3600 | 1 × 3600 = 3600 |
| 2 | 1800 | 2 × 1800 = 3600 |
| 3 | 1200 | 3 × 1200 = 3600 |
| 4 | 900 | 4 × 900 = 3600 |
| 5 | 720 | 5 × 720 = 3600 |
| 6 | 600 | 6 × 600 = 3600 |
| 8 | 450 | 8 × 450 = 3600 |
| 9 | 400 | 9 × 400 = 3600 |
| 10 | 360 | 10 × 360 = 3600 |
| 12 | 300 | 12 × 300 = 3600 |
| 15 | 240 | 15 × 240 = 3600 |
| 16 | 225 | 16 × 225 = 3600 |
| 18 | 200 | 18 × 200 = 3600 |
| 20 | 180 | 20 × 180 = 3600 |
| 24 | 150 | 24 × 150 = 3600 |
| 25 | 144 | 25 × 144 = 3600 |
| 30 | 120 | 30 × 120 = 3600 |
| 36 | 100 | 36 × 100 = 3600 |
| 40 | 90 | 40 × 90 = 3600 |
| 45 | 80 | 45 × 80 = 3600 |
| 48 | 75 | 48 × 75 = 3600 |
| 50 | 72 | 50 × 72 = 3600 |
| 60 | 60 | 60 × 60 = 3600 |
Questions
What are the factors of 3600?
The factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600. It has 45 factors.
What are the prime factors of 3600?
2, 3, 5. As a product: × × .
How many factors does 3600 have?
3600 has 45 factors (23 factor pairs, one of them 60 × 60).
What is the sum of the factors of 3600?
12493.
Is 3600 a prime number?
No. It is divisible by 2, so 3600 = 2 × 1800.