Factors of 1035
The factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1035 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1035 ≈ 32.17; 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 + 3 + 5 + 9 + 15 + 23 + 45 + 69 + 115 + 207 + 345 + 1035 = 1872. Without 1035 itself that is 837, so 1035 is a deficient number.
LaTeX source of the formulas on this page
\[ 1035 = 3^{2} \times 5 \times 23 \]Factor pairs of 1035
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1035 | 1 × 1035 = 1035 |
| 3 | 345 | 3 × 345 = 1035 |
| 5 | 207 | 5 × 207 = 1035 |
| 9 | 115 | 9 × 115 = 1035 |
| 15 | 69 | 15 × 69 = 1035 |
| 23 | 45 | 23 × 45 = 1035 |
Questions
What are the factors of 1035?
The factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. It has 12 factors.
What are the prime factors of 1035?
3, 5, 23. As a product: × 5 × 23.
How many factors does 1035 have?
1035 has 12 factors (6 factor pairs).
What is the sum of the factors of 1035?
1872.
Is 1035 a prime number?
No. It is divisible by 3, so 1035 = 3 × 345.