Factors of 7998
The factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7998 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7998 ≈ 89.43; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 16896. Without 7998 itself that is 8898, so 7998 is an abundant number.
LaTeX source of the formulas on this page
\[ 7998 = 2 \times 3 \times 31 \times 43 \]
Factor pairs of 7998
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7998 | 1 × 7998 = 7998 |
| 2 | 3999 | 2 × 3999 = 7998 |
| 3 | 2666 | 3 × 2666 = 7998 |
| 6 | 1333 | 6 × 1333 = 7998 |
| 31 | 258 | 31 × 258 = 7998 |
| 43 | 186 | 43 × 186 = 7998 |
| 62 | 129 | 62 × 129 = 7998 |
| 86 | 93 | 86 × 93 = 7998 |
Questions
What are the factors of 7998?
The factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998. It has 16 factors.
What are the prime factors of 7998?
2, 3, 31, 43. As a product: 2 × 3 × 31 × 43.
How many factors does 7998 have?
7998 has 16 factors (8 factor pairs).
What is the sum of the factors of 7998?
16896.
Is 7998 a prime number?
No. It is divisible by 2, so 7998 = 2 × 3999.