Factors of 4964
The factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4964 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4964 ≈ 70.46; 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 + 17 + 34 + 68 + 73 + 146 + 292 + 1241 + 2482 + 4964 = 9324. Without 4964 itself that is 4360, so 4964 is a deficient number.
LaTeX source of the formulas on this page
\[ 4964 = 2^{2} \times 17 \times 73 \]Factor pairs of 4964
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4964 | 1 × 4964 = 4964 |
| 2 | 2482 | 2 × 2482 = 4964 |
| 4 | 1241 | 4 × 1241 = 4964 |
| 17 | 292 | 17 × 292 = 4964 |
| 34 | 146 | 34 × 146 = 4964 |
| 68 | 73 | 68 × 73 = 4964 |
Questions
What are the factors of 4964?
The factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964. It has 12 factors.
What are the prime factors of 4964?
2, 17, 73. As a product: × 17 × 73.
How many factors does 4964 have?
4964 has 12 factors (6 factor pairs).
What is the sum of the factors of 4964?
9324.
Is 4964 a prime number?
No. It is divisible by 2, so 4964 = 2 × 2482.