Factors of 1742
The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1742 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1742 ≈ 41.74; 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 + 2 + 13 + 26 + 67 + 134 + 871 + 1742 = 2856. Without 1742 itself that is 1114, so 1742 is a deficient number.
LaTeX source of the formulas on this page
\[ 1742 = 2 \times 13 \times 67 \]
Factor pairs of 1742
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1742 | 1 × 1742 = 1742 |
| 2 | 871 | 2 × 871 = 1742 |
| 13 | 134 | 13 × 134 = 1742 |
| 26 | 67 | 26 × 67 = 1742 |
Questions
What are the factors of 1742?
The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742. It has 8 factors.
What are the prime factors of 1742?
2, 13, 67. As a product: 2 × 13 × 67.
How many factors does 1742 have?
1742 has 8 factors (4 factor pairs).
What is the sum of the factors of 1742?
2856.
Is 1742 a prime number?
No. It is divisible by 2, so 1742 = 2 × 871.