Factors of 782
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. It has 8 factors.
Factors of 782
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 782 is a whole number that divides it with nothing left over. You only need to test the numbers up to √782 ≈ 27.96; 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 + 17 + 23 + 34 + 46 + 391 + 782 = 1296. Without 782 itself that is 514, so 782 is a deficient number.
LaTeX source of the formulas on this page
\[ 782 = 2 \times 17 \times 23 \]
Factor pairs of 782
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 782 | 1 × 782 = 782 |
| 2 | 391 | 2 × 391 = 782 |
| 17 | 46 | 17 × 46 = 782 |
| 23 | 34 | 23 × 34 = 782 |
Questions
What are the factors of 782?
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. It has 8 factors.
What are the prime factors of 782?
2, 17, 23. As a product: 2 × 17 × 23.
How many factors does 782 have?
782 has 8 factors (4 factor pairs).
What is the sum of the factors of 782?
1296.
Is 782 a prime number?
No. It is divisible by 2, so 782 = 2 × 391.