Factors of 7992
The factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7992 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7992 ≈ 89.40; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 22800. Without 7992 itself that is 14808, so 7992 is an abundant number.
LaTeX source of the formulas on this page
\[ 7992 = 2^{3} \times 3^{3} \times 37 \]Factor pairs of 7992
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7992 | 1 × 7992 = 7992 |
| 2 | 3996 | 2 × 3996 = 7992 |
| 3 | 2664 | 3 × 2664 = 7992 |
| 4 | 1998 | 4 × 1998 = 7992 |
| 6 | 1332 | 6 × 1332 = 7992 |
| 8 | 999 | 8 × 999 = 7992 |
| 9 | 888 | 9 × 888 = 7992 |
| 12 | 666 | 12 × 666 = 7992 |
| 18 | 444 | 18 × 444 = 7992 |
| 24 | 333 | 24 × 333 = 7992 |
| 27 | 296 | 27 × 296 = 7992 |
| 36 | 222 | 36 × 222 = 7992 |
| 37 | 216 | 37 × 216 = 7992 |
| 54 | 148 | 54 × 148 = 7992 |
| 72 | 111 | 72 × 111 = 7992 |
| 74 | 108 | 74 × 108 = 7992 |
Questions
What are the factors of 7992?
The factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992. It has 32 factors.
What are the prime factors of 7992?
2, 3, 37. As a product: × × 37.
How many factors does 7992 have?
7992 has 32 factors (16 factor pairs).
What is the sum of the factors of 7992?
22800.
Is 7992 a prime number?
No. It is divisible by 2, so 7992 = 2 × 3996.