Factors of 1484
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1484 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1484 ≈ 38.52; 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 + 7 + 14 + 28 + 53 + 106 + 212 + 371 + 742 + 1484 = 3024. Without 1484 itself that is 1540, so 1484 is an abundant number.
LaTeX source of the formulas on this page
\[ 1484 = 2^{2} \times 7 \times 53 \]Factor pairs of 1484
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1484 | 1 × 1484 = 1484 |
| 2 | 742 | 2 × 742 = 1484 |
| 4 | 371 | 4 × 371 = 1484 |
| 7 | 212 | 7 × 212 = 1484 |
| 14 | 106 | 14 × 106 = 1484 |
| 28 | 53 | 28 × 53 = 1484 |
Questions
What are the factors of 1484?
The factors of 1484 are 1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742, 1484. It has 12 factors.
What are the prime factors of 1484?
2, 7, 53. As a product: × 7 × 53.
How many factors does 1484 have?
1484 has 12 factors (6 factor pairs).
What is the sum of the factors of 1484?
3024.
Is 1484 a prime number?
No. It is divisible by 2, so 1484 = 2 × 742.