Factors of 1460
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1460 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1460 ≈ 38.21; 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 + 2 + 4 + 5 + 10 + 20 + 73 + 146 + 292 + 365 + 730 + 1460 = 3108. Without 1460 itself that is 1648, so 1460 is an abundant number.
LaTeX source of the formulas on this page
\[ 1460 = 2^{2} \times 5 \times 73 \]Factor pairs of 1460
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1460 | 1 × 1460 = 1460 |
| 2 | 730 | 2 × 730 = 1460 |
| 4 | 365 | 4 × 365 = 1460 |
| 5 | 292 | 5 × 292 = 1460 |
| 10 | 146 | 10 × 146 = 1460 |
| 20 | 73 | 20 × 73 = 1460 |
Questions
What are the factors of 1460?
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460. It has 12 factors.
What are the prime factors of 1460?
2, 5, 73. As a product: × 5 × 73.
How many factors does 1460 have?
1460 has 12 factors (6 factor pairs).
What is the sum of the factors of 1460?
3108.
Is 1460 a prime number?
No. It is divisible by 2, so 1460 = 2 × 730.