Factors of 2988
The factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2988 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2988 ≈ 54.66; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 7644. Without 2988 itself that is 4656, so 2988 is an abundant number.
LaTeX source of the formulas on this page
\[ 2988 = 2^{2} \times 3^{2} \times 83 \]Factor pairs of 2988
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2988 | 1 × 2988 = 2988 |
| 2 | 1494 | 2 × 1494 = 2988 |
| 3 | 996 | 3 × 996 = 2988 |
| 4 | 747 | 4 × 747 = 2988 |
| 6 | 498 | 6 × 498 = 2988 |
| 9 | 332 | 9 × 332 = 2988 |
| 12 | 249 | 12 × 249 = 2988 |
| 18 | 166 | 18 × 166 = 2988 |
| 36 | 83 | 36 × 83 = 2988 |
Questions
What are the factors of 2988?
The factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988. It has 18 factors.
What are the prime factors of 2988?
2, 3, 83. As a product: × × 83.
How many factors does 2988 have?
2988 has 18 factors (9 factor pairs).
What is the sum of the factors of 2988?
7644.
Is 2988 a prime number?
No. It is divisible by 2, so 2988 = 2 × 1494.