Factors of 1023
The factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1023 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1023 ≈ 31.98; 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 + 11 + 31 + 33 + 93 + 341 + 1023 = 1536. Without 1023 itself that is 513, so 1023 is a deficient number.
LaTeX source of the formulas on this page
\[ 1023 = 3 \times 11 \times 31 \]
Factor pairs of 1023
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1023 | 1 × 1023 = 1023 |
| 3 | 341 | 3 × 341 = 1023 |
| 11 | 93 | 11 × 93 = 1023 |
| 31 | 33 | 31 × 33 = 1023 |
Questions
What are the factors of 1023?
The factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023. It has 8 factors.
What are the prime factors of 1023?
3, 11, 31. As a product: 3 × 11 × 31.
How many factors does 1023 have?
1023 has 8 factors (4 factor pairs).
What is the sum of the factors of 1023?
1536.
Is 1023 a prime number?
No. It is divisible by 3, so 1023 = 3 × 341.