Factors of 9964
The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9964 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9964 ≈ 99.82; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 47 + 53 + 94 + 106 + 188 + 212 + 2491 + 4982 + 9964 = 18144. Without 9964 itself that is 8180, so 9964 is a deficient number.
LaTeX source of the formulas on this page
\[ 9964 = 2^{2} \times 47 \times 53 \]Factor pairs of 9964
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9964 | 1 × 9964 = 9964 |
| 2 | 4982 | 2 × 4982 = 9964 |
| 4 | 2491 | 4 × 2491 = 9964 |
| 47 | 212 | 47 × 212 = 9964 |
| 53 | 188 | 53 × 188 = 9964 |
| 94 | 106 | 94 × 106 = 9964 |
Questions
What are the factors of 9964?
The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964. It has 12 factors.
What are the prime factors of 9964?
2, 47, 53. As a product: × 47 × 53.
How many factors does 9964 have?
9964 has 12 factors (6 factor pairs).
What is the sum of the factors of 9964?
18144.
Is 9964 a prime number?
No. It is divisible by 2, so 9964 = 2 × 4982.