Factors of 961
The factors of 961 are 1, 31, 961. It has 3 factors.
Factors of 961
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 961 is a whole number that divides it with nothing left over. You only need to test the numbers up to √961 ≈ 31.00; 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 + 31 + 961 = 993. Without 961 itself that is 32, so 961 is a deficient number.
LaTeX source of the formulas on this page
\[ 961 = 31^{2} \]Factor pairs of 961
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 961 | 1 × 961 = 961 |
| 31 | 31 | 31 × 31 = 961 |
Questions
What are the factors of 961?
The factors of 961 are 1, 31, 961. It has 3 factors.
What are the prime factors of 961?
31. As a product: .
How many factors does 961 have?
961 has 3 factors (2 factor pairs, one of them 31 × 31).
What is the sum of the factors of 961?
993.
Is 961 a prime number?
No. It is divisible by 31, so 961 = 31 × 31.