Factors of 2067
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2067 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2067 ≈ 45.46; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 13 + 39 + 53 + 159 + 689 + 2067 = 3024. Without 2067 itself that is 957, so 2067 is a deficient number.
LaTeX source of the formulas on this page
\[ 2067 = 3 \times 13 \times 53 \]
Factor pairs of 2067
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2067 | 1 × 2067 = 2067 |
| 3 | 689 | 3 × 689 = 2067 |
| 13 | 159 | 13 × 159 = 2067 |
| 39 | 53 | 39 × 53 = 2067 |
Questions
What are the factors of 2067?
The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067. It has 8 factors.
What are the prime factors of 2067?
3, 13, 53. As a product: 3 × 13 × 53.
How many factors does 2067 have?
2067 has 8 factors (4 factor pairs).
What is the sum of the factors of 2067?
3024.
Is 2067 a prime number?
No. It is divisible by 3, so 2067 = 3 × 689.