Factors of 9972
The factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9972 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9972 ≈ 99.86; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 25298. Without 9972 itself that is 15326, so 9972 is an abundant number.
LaTeX source of the formulas on this page
\[ 9972 = 2^{2} \times 3^{2} \times 277 \]Factor pairs of 9972
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9972 | 1 × 9972 = 9972 |
| 2 | 4986 | 2 × 4986 = 9972 |
| 3 | 3324 | 3 × 3324 = 9972 |
| 4 | 2493 | 4 × 2493 = 9972 |
| 6 | 1662 | 6 × 1662 = 9972 |
| 9 | 1108 | 9 × 1108 = 9972 |
| 12 | 831 | 12 × 831 = 9972 |
| 18 | 554 | 18 × 554 = 9972 |
| 36 | 277 | 36 × 277 = 9972 |
Questions
What are the factors of 9972?
The factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972. It has 18 factors.
What are the prime factors of 9972?
2, 3, 277. As a product: × × 277.
How many factors does 9972 have?
9972 has 18 factors (9 factor pairs).
What is the sum of the factors of 9972?
25298.
Is 9972 a prime number?
No. It is divisible by 2, so 9972 = 2 × 4986.