Factors of 870
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 870 is a whole number that divides it with nothing left over. You only need to test the numbers up to √870 ≈ 29.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2160. Without 870 itself that is 1290, so 870 is an abundant number.
LaTeX source of the formulas on this page
\[ 870 = 2 \times 3 \times 5 \times 29 \]
Factor pairs of 870
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 870 | 1 × 870 = 870 |
| 2 | 435 | 2 × 435 = 870 |
| 3 | 290 | 3 × 290 = 870 |
| 5 | 174 | 5 × 174 = 870 |
| 6 | 145 | 6 × 145 = 870 |
| 10 | 87 | 10 × 87 = 870 |
| 15 | 58 | 15 × 58 = 870 |
| 29 | 30 | 29 × 30 = 870 |
Questions
What are the factors of 870?
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870. It has 16 factors.
What are the prime factors of 870?
2, 3, 5, 29. As a product: 2 × 3 × 5 × 29.
How many factors does 870 have?
870 has 16 factors (8 factor pairs).
What is the sum of the factors of 870?
2160.
Is 870 a prime number?
No. It is divisible by 2, so 870 = 2 × 435.