Factors of 726
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 726 is a whole number that divides it with nothing left over. You only need to test the numbers up to √726 ≈ 26.94; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 6 + 11 + 22 + 33 + 66 + 121 + 242 + 363 + 726 = 1596. Without 726 itself that is 870, so 726 is an abundant number.
LaTeX source of the formulas on this page
\[ 726 = 2 \times 3 \times 11^{2} \]Factor pairs of 726
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 726 | 1 × 726 = 726 |
| 2 | 363 | 2 × 363 = 726 |
| 3 | 242 | 3 × 242 = 726 |
| 6 | 121 | 6 × 121 = 726 |
| 11 | 66 | 11 × 66 = 726 |
| 22 | 33 | 22 × 33 = 726 |
Questions
What are the factors of 726?
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. It has 12 factors.
What are the prime factors of 726?
2, 3, 11. As a product: 2 × 3 × .
How many factors does 726 have?
726 has 12 factors (6 factor pairs).
What is the sum of the factors of 726?
1596.
Is 726 a prime number?
No. It is divisible by 2, so 726 = 2 × 363.