Factors of 2970
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2970 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2970 ≈ 54.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8640. Without 2970 itself that is 5670, so 2970 is an abundant number.
LaTeX source of the formulas on this page
\[ 2970 = 2 \times 3^{3} \times 5 \times 11 \]Factor pairs of 2970
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2970 | 1 × 2970 = 2970 |
| 2 | 1485 | 2 × 1485 = 2970 |
| 3 | 990 | 3 × 990 = 2970 |
| 5 | 594 | 5 × 594 = 2970 |
| 6 | 495 | 6 × 495 = 2970 |
| 9 | 330 | 9 × 330 = 2970 |
| 10 | 297 | 10 × 297 = 2970 |
| 11 | 270 | 11 × 270 = 2970 |
| 15 | 198 | 15 × 198 = 2970 |
| 18 | 165 | 18 × 165 = 2970 |
| 22 | 135 | 22 × 135 = 2970 |
| 27 | 110 | 27 × 110 = 2970 |
| 30 | 99 | 30 × 99 = 2970 |
| 33 | 90 | 33 × 90 = 2970 |
| 45 | 66 | 45 × 66 = 2970 |
| 54 | 55 | 54 × 55 = 2970 |
Questions
What are the factors of 2970?
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. It has 32 factors.
What are the prime factors of 2970?
2, 3, 5, 11. As a product: 2 × × 5 × 11.
How many factors does 2970 have?
2970 has 32 factors (16 factor pairs).
What is the sum of the factors of 2970?
8640.
Is 2970 a prime number?
No. It is divisible by 2, so 2970 = 2 × 1485.