Factors of 1050
The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1050 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1050 ≈ 32.40; 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 2976. Without 1050 itself that is 1926, so 1050 is an abundant number.
LaTeX source of the formulas on this page
\[ 1050 = 2 \times 3 \times 5^{2} \times 7 \]Factor pairs of 1050
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1050 | 1 × 1050 = 1050 |
| 2 | 525 | 2 × 525 = 1050 |
| 3 | 350 | 3 × 350 = 1050 |
| 5 | 210 | 5 × 210 = 1050 |
| 6 | 175 | 6 × 175 = 1050 |
| 7 | 150 | 7 × 150 = 1050 |
| 10 | 105 | 10 × 105 = 1050 |
| 14 | 75 | 14 × 75 = 1050 |
| 15 | 70 | 15 × 70 = 1050 |
| 21 | 50 | 21 × 50 = 1050 |
| 25 | 42 | 25 × 42 = 1050 |
| 30 | 35 | 30 × 35 = 1050 |
Questions
What are the factors of 1050?
The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. It has 24 factors.
What are the prime factors of 1050?
2, 3, 5, 7. As a product: 2 × 3 × × 7.
How many factors does 1050 have?
1050 has 24 factors (12 factor pairs).
What is the sum of the factors of 1050?
2976.
Is 1050 a prime number?
No. It is divisible by 2, so 1050 = 2 × 525.