Factors of 1350
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1350 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1350 ≈ 36.74; 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 3720. Without 1350 itself that is 2370, so 1350 is an abundant number.
LaTeX source of the formulas on this page
\[ 1350 = 2 \times 3^{3} \times 5^{2} \]Factor pairs of 1350
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1350 | 1 × 1350 = 1350 |
| 2 | 675 | 2 × 675 = 1350 |
| 3 | 450 | 3 × 450 = 1350 |
| 5 | 270 | 5 × 270 = 1350 |
| 6 | 225 | 6 × 225 = 1350 |
| 9 | 150 | 9 × 150 = 1350 |
| 10 | 135 | 10 × 135 = 1350 |
| 15 | 90 | 15 × 90 = 1350 |
| 18 | 75 | 18 × 75 = 1350 |
| 25 | 54 | 25 × 54 = 1350 |
| 27 | 50 | 27 × 50 = 1350 |
| 30 | 45 | 30 × 45 = 1350 |
Questions
What are the factors of 1350?
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. It has 24 factors.
What are the prime factors of 1350?
2, 3, 5. As a product: 2 × × .
How many factors does 1350 have?
1350 has 24 factors (12 factor pairs).
What is the sum of the factors of 1350?
3720.
Is 1350 a prime number?
No. It is divisible by 2, so 1350 = 2 × 675.