Factors of 1260
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1260 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1260 ≈ 35.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 4368. Without 1260 itself that is 3108, so 1260 is an abundant number.
LaTeX source of the formulas on this page
\[ 1260 = 2^{2} \times 3^{2} \times 5 \times 7 \]Factor pairs of 1260
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1260 | 1 × 1260 = 1260 |
| 2 | 630 | 2 × 630 = 1260 |
| 3 | 420 | 3 × 420 = 1260 |
| 4 | 315 | 4 × 315 = 1260 |
| 5 | 252 | 5 × 252 = 1260 |
| 6 | 210 | 6 × 210 = 1260 |
| 7 | 180 | 7 × 180 = 1260 |
| 9 | 140 | 9 × 140 = 1260 |
| 10 | 126 | 10 × 126 = 1260 |
| 12 | 105 | 12 × 105 = 1260 |
| 14 | 90 | 14 × 90 = 1260 |
| 15 | 84 | 15 × 84 = 1260 |
| 18 | 70 | 18 × 70 = 1260 |
| 20 | 63 | 20 × 63 = 1260 |
| 21 | 60 | 21 × 60 = 1260 |
| 28 | 45 | 28 × 45 = 1260 |
| 30 | 42 | 30 × 42 = 1260 |
| 35 | 36 | 35 × 36 = 1260 |
Questions
What are the factors of 1260?
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. It has 36 factors.
What are the prime factors of 1260?
2, 3, 5, 7. As a product: × × 5 × 7.
How many factors does 1260 have?
1260 has 36 factors (18 factor pairs).
What is the sum of the factors of 1260?
4368.
Is 1260 a prime number?
No. It is divisible by 2, so 1260 = 2 × 630.