Factors of 1022
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1022 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1022 ≈ 31.97; 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 + 7 + 14 + 73 + 146 + 511 + 1022 = 1776. Without 1022 itself that is 754, so 1022 is a deficient number.
LaTeX source of the formulas on this page
\[ 1022 = 2 \times 7 \times 73 \]
Factor pairs of 1022
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1022 | 1 × 1022 = 1022 |
| 2 | 511 | 2 × 511 = 1022 |
| 7 | 146 | 7 × 146 = 1022 |
| 14 | 73 | 14 × 73 = 1022 |
Questions
What are the factors of 1022?
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022. It has 8 factors.
What are the prime factors of 1022?
2, 7, 73. As a product: 2 × 7 × 73.
How many factors does 1022 have?
1022 has 8 factors (4 factor pairs).
What is the sum of the factors of 1022?
1776.
Is 1022 a prime number?
No. It is divisible by 2, so 1022 = 2 × 511.