Factors of 1344
The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1344 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1344 ≈ 36.66; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 4064. Without 1344 itself that is 2720, so 1344 is an abundant number.
LaTeX source of the formulas on this page
\[ 1344 = 2^{6} \times 3 \times 7 \]Factor pairs of 1344
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1344 | 1 × 1344 = 1344 |
| 2 | 672 | 2 × 672 = 1344 |
| 3 | 448 | 3 × 448 = 1344 |
| 4 | 336 | 4 × 336 = 1344 |
| 6 | 224 | 6 × 224 = 1344 |
| 7 | 192 | 7 × 192 = 1344 |
| 8 | 168 | 8 × 168 = 1344 |
| 12 | 112 | 12 × 112 = 1344 |
| 14 | 96 | 14 × 96 = 1344 |
| 16 | 84 | 16 × 84 = 1344 |
| 21 | 64 | 21 × 64 = 1344 |
| 24 | 56 | 24 × 56 = 1344 |
| 28 | 48 | 28 × 48 = 1344 |
| 32 | 42 | 32 × 42 = 1344 |
Questions
What are the factors of 1344?
The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. It has 28 factors.
What are the prime factors of 1344?
2, 3, 7. As a product: × 3 × 7.
How many factors does 1344 have?
1344 has 28 factors (14 factor pairs).
What is the sum of the factors of 1344?
4064.
Is 1344 a prime number?
No. It is divisible by 2, so 1344 = 2 × 672.