Factors of 1872
The factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1872 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1872 ≈ 43.27; 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 5642. Without 1872 itself that is 3770, so 1872 is an abundant number.
LaTeX source of the formulas on this page
\[ 1872 = 2^{4} \times 3^{2} \times 13 \]Factor pairs of 1872
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1872 | 1 × 1872 = 1872 |
| 2 | 936 | 2 × 936 = 1872 |
| 3 | 624 | 3 × 624 = 1872 |
| 4 | 468 | 4 × 468 = 1872 |
| 6 | 312 | 6 × 312 = 1872 |
| 8 | 234 | 8 × 234 = 1872 |
| 9 | 208 | 9 × 208 = 1872 |
| 12 | 156 | 12 × 156 = 1872 |
| 13 | 144 | 13 × 144 = 1872 |
| 16 | 117 | 16 × 117 = 1872 |
| 18 | 104 | 18 × 104 = 1872 |
| 24 | 78 | 24 × 78 = 1872 |
| 26 | 72 | 26 × 72 = 1872 |
| 36 | 52 | 36 × 52 = 1872 |
| 39 | 48 | 39 × 48 = 1872 |
Questions
What are the factors of 1872?
The factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872. It has 30 factors.
What are the prime factors of 1872?
2, 3, 13. As a product: × × 13.
How many factors does 1872 have?
1872 has 30 factors (15 factor pairs).
What is the sum of the factors of 1872?
5642.
Is 1872 a prime number?
No. It is divisible by 2, so 1872 = 2 × 936.