Factors of 1704
The factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1704 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1704 ≈ 41.28; 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 4320. Without 1704 itself that is 2616, so 1704 is an abundant number.
LaTeX source of the formulas on this page
\[ 1704 = 2^{3} \times 3 \times 71 \]Factor pairs of 1704
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1704 | 1 × 1704 = 1704 |
| 2 | 852 | 2 × 852 = 1704 |
| 3 | 568 | 3 × 568 = 1704 |
| 4 | 426 | 4 × 426 = 1704 |
| 6 | 284 | 6 × 284 = 1704 |
| 8 | 213 | 8 × 213 = 1704 |
| 12 | 142 | 12 × 142 = 1704 |
| 24 | 71 | 24 × 71 = 1704 |
Questions
What are the factors of 1704?
The factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. It has 16 factors.
What are the prime factors of 1704?
2, 3, 71. As a product: × 3 × 71.
How many factors does 1704 have?
1704 has 16 factors (8 factor pairs).
What is the sum of the factors of 1704?
4320.
Is 1704 a prime number?
No. It is divisible by 2, so 1704 = 2 × 852.