Factors of 5376
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5376 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5376 ≈ 73.32; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16352. Without 5376 itself that is 10976, so 5376 is an abundant number.
LaTeX source of the formulas on this page
\[ 5376 = 2^{8} \times 3 \times 7 \]Factor pairs of 5376
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5376 | 1 × 5376 = 5376 |
| 2 | 2688 | 2 × 2688 = 5376 |
| 3 | 1792 | 3 × 1792 = 5376 |
| 4 | 1344 | 4 × 1344 = 5376 |
| 6 | 896 | 6 × 896 = 5376 |
| 7 | 768 | 7 × 768 = 5376 |
| 8 | 672 | 8 × 672 = 5376 |
| 12 | 448 | 12 × 448 = 5376 |
| 14 | 384 | 14 × 384 = 5376 |
| 16 | 336 | 16 × 336 = 5376 |
| 21 | 256 | 21 × 256 = 5376 |
| 24 | 224 | 24 × 224 = 5376 |
| 28 | 192 | 28 × 192 = 5376 |
| 32 | 168 | 32 × 168 = 5376 |
| 42 | 128 | 42 × 128 = 5376 |
| 48 | 112 | 48 × 112 = 5376 |
| 56 | 96 | 56 × 96 = 5376 |
| 64 | 84 | 64 × 84 = 5376 |
Questions
What are the factors of 5376?
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. It has 36 factors.
What are the prime factors of 5376?
2, 3, 7. As a product: × 3 × 7.
How many factors does 5376 have?
5376 has 36 factors (18 factor pairs).
What is the sum of the factors of 5376?
16352.
Is 5376 a prime number?
No. It is divisible by 2, so 5376 = 2 × 2688.