Factors of 4200
The factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4200 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4200 ≈ 64.81; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 14880. Without 4200 itself that is 10680, so 4200 is an abundant number.
LaTeX source of the formulas on this page
\[ 4200 = 2^{3} \times 3 \times 5^{2} \times 7 \]Factor pairs of 4200
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4200 | 1 × 4200 = 4200 |
| 2 | 2100 | 2 × 2100 = 4200 |
| 3 | 1400 | 3 × 1400 = 4200 |
| 4 | 1050 | 4 × 1050 = 4200 |
| 5 | 840 | 5 × 840 = 4200 |
| 6 | 700 | 6 × 700 = 4200 |
| 7 | 600 | 7 × 600 = 4200 |
| 8 | 525 | 8 × 525 = 4200 |
| 10 | 420 | 10 × 420 = 4200 |
| 12 | 350 | 12 × 350 = 4200 |
| 14 | 300 | 14 × 300 = 4200 |
| 15 | 280 | 15 × 280 = 4200 |
| 20 | 210 | 20 × 210 = 4200 |
| 21 | 200 | 21 × 200 = 4200 |
| 24 | 175 | 24 × 175 = 4200 |
| 25 | 168 | 25 × 168 = 4200 |
| 28 | 150 | 28 × 150 = 4200 |
| 30 | 140 | 30 × 140 = 4200 |
| 35 | 120 | 35 × 120 = 4200 |
| 40 | 105 | 40 × 105 = 4200 |
| 42 | 100 | 42 × 100 = 4200 |
| 50 | 84 | 50 × 84 = 4200 |
| 56 | 75 | 56 × 75 = 4200 |
| 60 | 70 | 60 × 70 = 4200 |
Questions
What are the factors of 4200?
The factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200. It has 48 factors.
What are the prime factors of 4200?
2, 3, 5, 7. As a product: × 3 × × 7.
How many factors does 4200 have?
4200 has 48 factors (24 factor pairs).
What is the sum of the factors of 4200?
14880.
Is 4200 a prime number?
No. It is divisible by 2, so 4200 = 2 × 2100.