Factors of 361
The factors of 361 are 1, 19, 361. It has 3 factors.
Factors of 361
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 361 is a whole number that divides it with nothing left over. You only need to test the numbers up to √361 ≈ 19.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 3 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 19 + 361 = 381. Without 361 itself that is 20, so 361 is a deficient number.
LaTeX source of the formulas on this page
\[ 361 = 19^{2} \]Factor pairs of 361
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 361 | 1 × 361 = 361 |
| 19 | 19 | 19 × 19 = 361 |
Questions
What are the factors of 361?
The factors of 361 are 1, 19, 361. It has 3 factors.
What are the prime factors of 361?
19. As a product: .
How many factors does 361 have?
361 has 3 factors (2 factor pairs, one of them 19 × 19).
What is the sum of the factors of 361?
381.
Is 361 a prime number?
No. It is divisible by 19, so 361 = 19 × 19.