Factors of 1968
The factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1968 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1968 ≈ 44.36; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 5208. Without 1968 itself that is 3240, so 1968 is an abundant number.
LaTeX source of the formulas on this page
\[ 1968 = 2^{4} \times 3 \times 41 \]Factor pairs of 1968
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1968 | 1 × 1968 = 1968 |
| 2 | 984 | 2 × 984 = 1968 |
| 3 | 656 | 3 × 656 = 1968 |
| 4 | 492 | 4 × 492 = 1968 |
| 6 | 328 | 6 × 328 = 1968 |
| 8 | 246 | 8 × 246 = 1968 |
| 12 | 164 | 12 × 164 = 1968 |
| 16 | 123 | 16 × 123 = 1968 |
| 24 | 82 | 24 × 82 = 1968 |
| 41 | 48 | 41 × 48 = 1968 |
Questions
What are the factors of 1968?
The factors of 1968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 48, 82, 123, 164, 246, 328, 492, 656, 984, 1968. It has 20 factors.
What are the prime factors of 1968?
2, 3, 41. As a product: × 3 × 41.
How many factors does 1968 have?
1968 has 20 factors (10 factor pairs).
What is the sum of the factors of 1968?
5208.
Is 1968 a prime number?
No. It is divisible by 2, so 1968 = 2 × 984.