Factors of 5984
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5984 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5984 ≈ 77.36; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13608. Without 5984 itself that is 7624, so 5984 is an abundant number.
LaTeX source of the formulas on this page
\[ 5984 = 2^{5} \times 11 \times 17 \]Factor pairs of 5984
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5984 | 1 × 5984 = 5984 |
| 2 | 2992 | 2 × 2992 = 5984 |
| 4 | 1496 | 4 × 1496 = 5984 |
| 8 | 748 | 8 × 748 = 5984 |
| 11 | 544 | 11 × 544 = 5984 |
| 16 | 374 | 16 × 374 = 5984 |
| 17 | 352 | 17 × 352 = 5984 |
| 22 | 272 | 22 × 272 = 5984 |
| 32 | 187 | 32 × 187 = 5984 |
| 34 | 176 | 34 × 176 = 5984 |
| 44 | 136 | 44 × 136 = 5984 |
| 68 | 88 | 68 × 88 = 5984 |
Questions
What are the factors of 5984?
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984. It has 24 factors.
What are the prime factors of 5984?
2, 11, 17. As a product: × 11 × 17.
How many factors does 5984 have?
5984 has 24 factors (12 factor pairs).
What is the sum of the factors of 5984?
13608.
Is 5984 a prime number?
No. It is divisible by 2, so 5984 = 2 × 2992.