Factors of 1054
The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1054 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1054 ≈ 32.47; 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 + 17 + 31 + 34 + 62 + 527 + 1054 = 1728. Without 1054 itself that is 674, so 1054 is a deficient number.
LaTeX source of the formulas on this page
\[ 1054 = 2 \times 17 \times 31 \]
Factor pairs of 1054
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1054 | 1 × 1054 = 1054 |
| 2 | 527 | 2 × 527 = 1054 |
| 17 | 62 | 17 × 62 = 1054 |
| 31 | 34 | 31 × 34 = 1054 |
Questions
What are the factors of 1054?
The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. It has 8 factors.
What are the prime factors of 1054?
2, 17, 31. As a product: 2 × 17 × 31.
How many factors does 1054 have?
1054 has 8 factors (4 factor pairs).
What is the sum of the factors of 1054?
1728.
Is 1054 a prime number?
No. It is divisible by 2, so 1054 = 2 × 527.