Factors of 2401
The factors of 2401 are 1, 7, 49, 343, 2401. It has 5 factors.
Factors of 2401
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2401 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2401 ≈ 49.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 5 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 7 + 49 + 343 + 2401 = 2801. Without 2401 itself that is 400, so 2401 is a deficient number.
LaTeX source of the formulas on this page
\[ 2401 = 7^{4} \]Factor pairs of 2401
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2401 | 1 × 2401 = 2401 |
| 7 | 343 | 7 × 343 = 2401 |
| 49 | 49 | 49 × 49 = 2401 |
Questions
What are the factors of 2401?
The factors of 2401 are 1, 7, 49, 343, 2401. It has 5 factors.
What are the prime factors of 2401?
7. As a product: .
How many factors does 2401 have?
2401 has 5 factors (3 factor pairs, one of them 49 × 49).
What is the sum of the factors of 2401?
2801.
Is 2401 a prime number?
No. It is divisible by 7, so 2401 = 7 × 343.