Factors of 66
There are 8 factors of 66 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 66
1, 2, 3, 6, 11, 22, 33, 66
Factor pairs of 66
- 1 × 66
- 2 × 33
- 3 × 22
- 6 × 11
Prime factorization of 66
66 = 2 × 3 × 11
Number facts
- 66 is a composite number.
- 66 has 8 factors.
- 66 is not a perfect square.
- The sum of all factors of 66 is 144.
Divisibility rules that apply to 66
- 66 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
- 66 is divisible by 3 because the sum of its digits (12) is divisible by 3.
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How the factors of 66 are calculated
To find the factors of 66, every whole number from 1 up to the square root of 66(about 8.12) is tested for even division. 66 is even, and it divides evenly by 2, 3, 6, 11, among others. Written as a product of primes, 66 = 2 × 3 × 11, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 66
How many factors does 66 have?
66 has 8 factors: 1, 2, 3, 6, 11, 22, 33, 66.
Is 66 a prime number?
No. 66 is composite because it has factors other than 1 and itself.
What are the factor pairs of 66?
The factor pairs of 66 are 1 × 66, 2 × 33, 3 × 22, 6 × 11.
What is the prime factorization of 66?
The prime factorization of 66 is 2 × 3 × 11.