Factors of 1700
The factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1700 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1700 ≈ 41.23; 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 3906. Without 1700 itself that is 2206, so 1700 is an abundant number.
LaTeX source of the formulas on this page
\[ 1700 = 2^{2} \times 5^{2} \times 17 \]Factor pairs of 1700
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1700 | 1 × 1700 = 1700 |
| 2 | 850 | 2 × 850 = 1700 |
| 4 | 425 | 4 × 425 = 1700 |
| 5 | 340 | 5 × 340 = 1700 |
| 10 | 170 | 10 × 170 = 1700 |
| 17 | 100 | 17 × 100 = 1700 |
| 20 | 85 | 20 × 85 = 1700 |
| 25 | 68 | 25 × 68 = 1700 |
| 34 | 50 | 34 × 50 = 1700 |
Questions
What are the factors of 1700?
The factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. It has 18 factors.
What are the prime factors of 1700?
2, 5, 17. As a product: × × 17.
How many factors does 1700 have?
1700 has 18 factors (9 factor pairs).
What is the sum of the factors of 1700?
3906.
Is 1700 a prime number?
No. It is divisible by 2, so 1700 = 2 × 850.