Factors of 966
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 966 is a whole number that divides it with nothing left over. You only need to test the numbers up to √966 ≈ 31.08; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2304. Without 966 itself that is 1338, so 966 is an abundant number.
LaTeX source of the formulas on this page
\[ 966 = 2 \times 3 \times 7 \times 23 \]
Factor pairs of 966
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 966 | 1 × 966 = 966 |
| 2 | 483 | 2 × 483 = 966 |
| 3 | 322 | 3 × 322 = 966 |
| 6 | 161 | 6 × 161 = 966 |
| 7 | 138 | 7 × 138 = 966 |
| 14 | 69 | 14 × 69 = 966 |
| 21 | 46 | 21 × 46 = 966 |
| 23 | 42 | 23 × 42 = 966 |
Questions
What are the factors of 966?
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966. It has 16 factors.
What are the prime factors of 966?
2, 3, 7, 23. As a product: 2 × 3 × 7 × 23.
How many factors does 966 have?
966 has 16 factors (8 factor pairs).
What is the sum of the factors of 966?
2304.
Is 966 a prime number?
No. It is divisible by 2, so 966 = 2 × 483.