Factors of 66
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. It has 8 factors.
Factors of 66
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 66 is a whole number that divides it with nothing left over. You only need to test the numbers up to √66 ≈ 8.12; 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 + 2 + 3 + 6 + 11 + 22 + 33 + 66 = 144. Without 66 itself that is 78, so 66 is an abundant number.
LaTeX source of the formulas on this page
\[ 66 = 2 \times 3 \times 11 \]
Factor pairs of 66
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 66 | 1 × 66 = 66 |
| 2 | 33 | 2 × 33 = 66 |
| 3 | 22 | 3 × 22 = 66 |
| 6 | 11 | 6 × 11 = 66 |
Questions
What are the factors of 66?
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. It has 8 factors.
What are the prime factors of 66?
2, 3, 11. As a product: 2 × 3 × 11.
How many factors does 66 have?
66 has 8 factors (4 factor pairs).
What is the sum of the factors of 66?
144.
Is 66 a prime number?
No. It is divisible by 2, so 66 = 2 × 33.