Factors of 1743
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1743 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1743 ≈ 41.75; 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 + 7 + 21 + 83 + 249 + 581 + 1743 = 2688. Without 1743 itself that is 945, so 1743 is a deficient number.
LaTeX source of the formulas on this page
\[ 1743 = 3 \times 7 \times 83 \]
Factor pairs of 1743
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1743 | 1 × 1743 = 1743 |
| 3 | 581 | 3 × 581 = 1743 |
| 7 | 249 | 7 × 249 = 1743 |
| 21 | 83 | 21 × 83 = 1743 |
Questions
What are the factors of 1743?
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743. It has 8 factors.
What are the prime factors of 1743?
3, 7, 83. As a product: 3 × 7 × 83.
How many factors does 1743 have?
1743 has 8 factors (4 factor pairs).
What is the sum of the factors of 1743?
2688.
Is 1743 a prime number?
No. It is divisible by 3, so 1743 = 3 × 581.