Factors of 1200
The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1200 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1200 ≈ 34.64; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3844. Without 1200 itself that is 2644, so 1200 is an abundant number.
LaTeX source of the formulas on this page
\[ 1200 = 2^{4} \times 3 \times 5^{2} \]Factor pairs of 1200
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1200 | 1 × 1200 = 1200 |
| 2 | 600 | 2 × 600 = 1200 |
| 3 | 400 | 3 × 400 = 1200 |
| 4 | 300 | 4 × 300 = 1200 |
| 5 | 240 | 5 × 240 = 1200 |
| 6 | 200 | 6 × 200 = 1200 |
| 8 | 150 | 8 × 150 = 1200 |
| 10 | 120 | 10 × 120 = 1200 |
| 12 | 100 | 12 × 100 = 1200 |
| 15 | 80 | 15 × 80 = 1200 |
| 16 | 75 | 16 × 75 = 1200 |
| 20 | 60 | 20 × 60 = 1200 |
| 24 | 50 | 24 × 50 = 1200 |
| 25 | 48 | 25 × 48 = 1200 |
| 30 | 40 | 30 × 40 = 1200 |
Questions
What are the factors of 1200?
The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. It has 30 factors.
What are the prime factors of 1200?
2, 3, 5. As a product: × 3 × .
How many factors does 1200 have?
1200 has 30 factors (15 factor pairs).
What is the sum of the factors of 1200?
3844.
Is 1200 a prime number?
No. It is divisible by 2, so 1200 = 2 × 600.