Factors of 2100
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2100 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2100 ≈ 45.83; 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 6944. Without 2100 itself that is 4844, so 2100 is an abundant number.
LaTeX source of the formulas on this page
\[ 2100 = 2^{2} \times 3 \times 5^{2} \times 7 \]Factor pairs of 2100
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2100 | 1 × 2100 = 2100 |
| 2 | 1050 | 2 × 1050 = 2100 |
| 3 | 700 | 3 × 700 = 2100 |
| 4 | 525 | 4 × 525 = 2100 |
| 5 | 420 | 5 × 420 = 2100 |
| 6 | 350 | 6 × 350 = 2100 |
| 7 | 300 | 7 × 300 = 2100 |
| 10 | 210 | 10 × 210 = 2100 |
| 12 | 175 | 12 × 175 = 2100 |
| 14 | 150 | 14 × 150 = 2100 |
| 15 | 140 | 15 × 140 = 2100 |
| 20 | 105 | 20 × 105 = 2100 |
| 21 | 100 | 21 × 100 = 2100 |
| 25 | 84 | 25 × 84 = 2100 |
| 28 | 75 | 28 × 75 = 2100 |
| 30 | 70 | 30 × 70 = 2100 |
| 35 | 60 | 35 × 60 = 2100 |
| 42 | 50 | 42 × 50 = 2100 |
Questions
What are the factors of 2100?
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100. It has 36 factors.
What are the prime factors of 2100?
2, 3, 5, 7. As a product: × 3 × × 7.
How many factors does 2100 have?
2100 has 36 factors (18 factor pairs).
What is the sum of the factors of 2100?
6944.
Is 2100 a prime number?
No. It is divisible by 2, so 2100 = 2 × 1050.