Factors of 4991
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4991 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4991 ≈ 70.65; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 7 + 23 + 31 + 161 + 217 + 713 + 4991 = 6144. Without 4991 itself that is 1153, so 4991 is a deficient number.
LaTeX source of the formulas on this page
\[ 4991 = 7 \times 23 \times 31 \]
Factor pairs of 4991
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4991 | 1 × 4991 = 4991 |
| 7 | 713 | 7 × 713 = 4991 |
| 23 | 217 | 23 × 217 = 4991 |
| 31 | 161 | 31 × 161 = 4991 |
Questions
What are the factors of 4991?
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991. It has 8 factors.
What are the prime factors of 4991?
7, 23, 31. As a product: 7 × 23 × 31.
How many factors does 4991 have?
4991 has 8 factors (4 factor pairs).
What is the sum of the factors of 4991?
6144.
Is 4991 a prime number?
No. It is divisible by 7, so 4991 = 7 × 713.