Factors of 3300
The factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3300 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3300 ≈ 57.45; 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 10416. Without 3300 itself that is 7116, so 3300 is an abundant number.
LaTeX source of the formulas on this page
\[ 3300 = 2^{2} \times 3 \times 5^{2} \times 11 \]Factor pairs of 3300
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3300 | 1 × 3300 = 3300 |
| 2 | 1650 | 2 × 1650 = 3300 |
| 3 | 1100 | 3 × 1100 = 3300 |
| 4 | 825 | 4 × 825 = 3300 |
| 5 | 660 | 5 × 660 = 3300 |
| 6 | 550 | 6 × 550 = 3300 |
| 10 | 330 | 10 × 330 = 3300 |
| 11 | 300 | 11 × 300 = 3300 |
| 12 | 275 | 12 × 275 = 3300 |
| 15 | 220 | 15 × 220 = 3300 |
| 20 | 165 | 20 × 165 = 3300 |
| 22 | 150 | 22 × 150 = 3300 |
| 25 | 132 | 25 × 132 = 3300 |
| 30 | 110 | 30 × 110 = 3300 |
| 33 | 100 | 33 × 100 = 3300 |
| 44 | 75 | 44 × 75 = 3300 |
| 50 | 66 | 50 × 66 = 3300 |
| 55 | 60 | 55 × 60 = 3300 |
Questions
What are the factors of 3300?
The factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. It has 36 factors.
What are the prime factors of 3300?
2, 3, 5, 11. As a product: × 3 × × 11.
How many factors does 3300 have?
3300 has 36 factors (18 factor pairs).
What is the sum of the factors of 3300?
10416.
Is 3300 a prime number?
No. It is divisible by 2, so 3300 = 2 × 1650.