Factor Calculator

Factors of 1066

The factors of 1066 are 1, 2, 13, 26, 41, 82, 533, and 1066. In total, 1066 has 8 factors. Its prime factorization is 2 × 13 × 41, and the sum of all its factors is 1764.

All factors of 1066

Here are all 8 factors of 1066, listed from smallest to largest.

12132641825331066

Factor pairs of 1066

These 4 pairs of whole numbers each multiply to give 1066.

1 × 1066 = 1066
2 × 533 = 1066
13 × 82 = 1066
26 × 41 = 1066

Prime factorization of 1066

Dividing 1066 by the smallest prime at each step gives its prime factorization:

1066 ÷ 2 = 533
533 ÷ 13 = 41
41 ÷ 41 = 1
Result: 1066 = 2 × 13 × 41 = 2 × 13 × 41

The distinct prime factors of 1066 are 2, 13, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 1066

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

Factor tree of 1066106625331341
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1066

Number of factors8
Sum of factors1764
Sum of proper factors698
Prime factorization2 × 13 × 41
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1066 interesting

  • 1066 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.
  • 1066 is a deficient number: its proper factors sum to 698, which is 368 less than 1066 itself.
  • 1066 has 3 distinct prime factors (2, 13, 41), which is why it has so many divisors.

How to find the factors of 1066 yourself

Divide 1066 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 √1066 ≈ 32.65, because every factor above that pairs with one below it.

1066 ÷ 1 = 1066 ✓
1066 ÷ 2 = 533 ✓
1066 ÷ 13 = 82 ✓
1066 ÷ 26 = 41 ✓

Reading both columns gives every factor: 1, 2, 13, 26, 41, 82, 533, 1066. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1066.

Frequently asked questions about 1066

What are the factors of 1066?

The factors of 1066 are 1, 2, 13, 26, 41, 82, 533, and 1066. That is 8 factors in total, counting both 1 and 1066.

Is 1066 a prime number?

No, 1066 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 1066 is also divisible by 2.

What is the prime factorization of 1066?

The prime factorization of 1066 is 2 × 13 × 41. Written out in full: 2 × 13 × 41 = 1066. Its distinct prime factors are 2, 13, 41.

What two numbers multiply to give 1066?

There are 4 pairs of whole numbers that multiply to 1066: 1 × 1066, 2 × 533, 13 × 82, 26 × 41.

What is the sum of the factors of 1066?

Adding all the factors of 1066 together gives 1764. Excluding 1066 itself, the proper factors sum to 698.

Is 1066 a perfect square?

No, 1066 is not a perfect square. There is no whole number that multiplies by itself to give 1066. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1066 other than itself?

The largest factor of 1066 apart from 1066 itself is 533, since 1066 ÷ 533 = 2.

How many factors does 1066 have?

1066 has 8 factors: 1, 2, 13, 26, 41, 82, 533, and 1066. You can verify this from the prime factorization 2 × 13 × 41: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 1066 down further with the prime factorization calculator, or compare 1066 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.