Factors of 9723
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9723 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9723 ≈ 98.61; 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 + 463 + 1389 + 3241 + 9723 = 14848. Without 9723 itself that is 5125, so 9723 is a deficient number.
LaTeX source of the formulas on this page
\[ 9723 = 3 \times 7 \times 463 \]
Factor pairs of 9723
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9723 | 1 × 9723 = 9723 |
| 3 | 3241 | 3 × 3241 = 9723 |
| 7 | 1389 | 7 × 1389 = 9723 |
| 21 | 463 | 21 × 463 = 9723 |
Questions
What are the factors of 9723?
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723. It has 8 factors.
What are the prime factors of 9723?
3, 7, 463. As a product: 3 × 7 × 463.
How many factors does 9723 have?
9723 has 8 factors (4 factor pairs).
What is the sum of the factors of 9723?
14848.
Is 9723 a prime number?
No. It is divisible by 3, so 9723 = 3 × 3241.