Factor Calculator

Factors of 266

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, and 266. In total, 266 has 8 factors. Its prime factorization is 2 × 7 × 19, and the sum of all its factors is 480.

All factors of 266

Here are all 8 factors of 266, listed from smallest to largest.

127141938133266

Factor pairs of 266

These 4 pairs of whole numbers each multiply to give 266.

1 × 266 = 266
2 × 133 = 266
7 × 38 = 266
14 × 19 = 266

Prime factorization of 266

Dividing 266 by the smallest prime at each step gives its prime factorization:

266 ÷ 2 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1
Result: 266 = 2 × 7 × 19 = 2 × 7 × 19

The distinct prime factors of 266 are 2, 7, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 266

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 2662662133719
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 266

Number of factors8
Sum of factors480
Sum of proper factors214
Prime factorization2 × 7 × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 266 interesting

  • 266 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 266 is a deficient number: its proper factors sum to 214, which is 52 less than 266 itself.
  • 266 has 3 distinct prime factors (2, 7, 19), which is why it has so many divisors.

How to find the factors of 266 yourself

Divide 266 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √26616.31, because every factor above that pairs with one below it.

266 ÷ 1 = 266
266 ÷ 2 = 133
266 ÷ 7 = 38
266 ÷ 14 = 19

Reading both columns gives every factor: 1, 2, 7, 14, 19, 38, 133, 266. The factor calculator does this automatically for any number.

Frequently asked questions about 266

What are the factors of 266?

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, and 266. That is 8 factors in total, counting both 1 and 266.

Is 266 a prime number?

No, 266 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 266 is also divisible by 2.

What is the prime factorization of 266?

The prime factorization of 266 is 2 × 7 × 19. Written out in full: 2 × 7 × 19 = 266. Its distinct prime factors are 2, 7, 19.

What two numbers multiply to give 266?

There are 4 pairs of whole numbers that multiply to 266: 1 × 266, 2 × 133, 7 × 38, 14 × 19.

What is the sum of the factors of 266?

Adding all the factors of 266 together gives 480. Excluding 266 itself, the proper factors sum to 214.

Is 266 a perfect square?

No, 266 is not a perfect square. There is no whole number that multiplies by itself to give 266. The nearest perfect squares are 256 and 289.

What is the largest factor of 266 other than itself?

The largest factor of 266 apart from 266 itself is 133, since 266 ÷ 133 = 2.

How many factors does 266 have?

266 has 8 factors: 1, 2, 7, 14, 19, 38, 133, and 266. You can verify this from the prime factorization 2 × 7 × 19: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 266 down further with the prime factorization calculator, or compare 266 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.