Factors of 7072
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7072 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7072 ≈ 84.10; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 15876. Without 7072 itself that is 8804, so 7072 is an abundant number.
LaTeX source of the formulas on this page
\[ 7072 = 2^{5} \times 13 \times 17 \]Factor pairs of 7072
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7072 | 1 × 7072 = 7072 |
| 2 | 3536 | 2 × 3536 = 7072 |
| 4 | 1768 | 4 × 1768 = 7072 |
| 8 | 884 | 8 × 884 = 7072 |
| 13 | 544 | 13 × 544 = 7072 |
| 16 | 442 | 16 × 442 = 7072 |
| 17 | 416 | 17 × 416 = 7072 |
| 26 | 272 | 26 × 272 = 7072 |
| 32 | 221 | 32 × 221 = 7072 |
| 34 | 208 | 34 × 208 = 7072 |
| 52 | 136 | 52 × 136 = 7072 |
| 68 | 104 | 68 × 104 = 7072 |
Questions
What are the factors of 7072?
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072. It has 24 factors.
What are the prime factors of 7072?
2, 13, 17. As a product: × 13 × 17.
How many factors does 7072 have?
7072 has 24 factors (12 factor pairs).
What is the sum of the factors of 7072?
15876.
Is 7072 a prime number?
No. It is divisible by 2, so 7072 = 2 × 3536.