Factors of 506
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. It has 8 factors.
Factors of 506
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 506 is a whole number that divides it with nothing left over. You only need to test the numbers up to √506 ≈ 22.49; 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 + 11 + 22 + 23 + 46 + 253 + 506 = 864. Without 506 itself that is 358, so 506 is a deficient number.
LaTeX source of the formulas on this page
\[ 506 = 2 \times 11 \times 23 \]
Factor pairs of 506
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 506 | 1 × 506 = 506 |
| 2 | 253 | 2 × 253 = 506 |
| 11 | 46 | 11 × 46 = 506 |
| 22 | 23 | 22 × 23 = 506 |
Questions
What are the factors of 506?
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. It has 8 factors.
What are the prime factors of 506?
2, 11, 23. As a product: 2 × 11 × 23.
How many factors does 506 have?
506 has 8 factors (4 factor pairs).
What is the sum of the factors of 506?
864.
Is 506 a prime number?
No. It is divisible by 2, so 506 = 2 × 253.