Factors of 7000
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7000 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7000 ≈ 83.67; 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 18720. Without 7000 itself that is 11720, so 7000 is an abundant number.
LaTeX source of the formulas on this page
\[ 7000 = 2^{3} \times 5^{3} \times 7 \]Factor pairs of 7000
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7000 | 1 × 7000 = 7000 |
| 2 | 3500 | 2 × 3500 = 7000 |
| 4 | 1750 | 4 × 1750 = 7000 |
| 5 | 1400 | 5 × 1400 = 7000 |
| 7 | 1000 | 7 × 1000 = 7000 |
| 8 | 875 | 8 × 875 = 7000 |
| 10 | 700 | 10 × 700 = 7000 |
| 14 | 500 | 14 × 500 = 7000 |
| 20 | 350 | 20 × 350 = 7000 |
| 25 | 280 | 25 × 280 = 7000 |
| 28 | 250 | 28 × 250 = 7000 |
| 35 | 200 | 35 × 200 = 7000 |
| 40 | 175 | 40 × 175 = 7000 |
| 50 | 140 | 50 × 140 = 7000 |
| 56 | 125 | 56 × 125 = 7000 |
| 70 | 100 | 70 × 100 = 7000 |
Questions
What are the factors of 7000?
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000. It has 32 factors.
What are the prime factors of 7000?
2, 5, 7. As a product: × × 7.
How many factors does 7000 have?
7000 has 32 factors (16 factor pairs).
What is the sum of the factors of 7000?
18720.
Is 7000 a prime number?
No. It is divisible by 2, so 7000 = 2 × 3500.