Factor Calculator

Factors of 110

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, and 110. In total, 110 has 8 factors. Its prime factorization is 2 × 5 × 11, and the sum of all its factors is 216.

All factors of 110

Here are all 8 factors of 110, listed from smallest to largest.

12510112255110

Factor pairs of 110

These 4 pairs of whole numbers each multiply to give 110.

1 × 110 = 110
2 × 55 = 110
5 × 22 = 110
10 × 11 = 110

Prime factorization of 110

Dividing 110 by the smallest prime at each step gives its prime factorization:

110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 110 = 2 × 5 × 11 = 2 × 5 × 11

The distinct prime factors of 110 are 2, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 110

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

Factor tree of 110110255511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 110

Number of factors8
Sum of factors216
Sum of proper factors106
Prime factorization2 × 5 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 110 interesting

  • 110 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.
  • 110 is a deficient number: its proper factors sum to 106, which is 4 less than 110 itself.
  • 110 has 3 distinct prime factors (2, 5, 11), which is why it has so many divisors.

How to find the factors of 110 yourself

Divide 110 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 √11010.49, because every factor above that pairs with one below it.

110 ÷ 1 = 110
110 ÷ 2 = 55
110 ÷ 5 = 22
110 ÷ 10 = 11

Reading both columns gives every factor: 1, 2, 5, 10, 11, 22, 55, 110. The factor calculator does this automatically for any number.

Frequently asked questions about 110

What are the factors of 110?

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, and 110. That is 8 factors in total, counting both 1 and 110.

Is 110 a prime number?

No, 110 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 110 is also divisible by 2.

What is the prime factorization of 110?

The prime factorization of 110 is 2 × 5 × 11. Written out in full: 2 × 5 × 11 = 110. Its distinct prime factors are 2, 5, 11.

What two numbers multiply to give 110?

There are 4 pairs of whole numbers that multiply to 110: 1 × 110, 2 × 55, 5 × 22, 10 × 11.

What is the sum of the factors of 110?

Adding all the factors of 110 together gives 216. Excluding 110 itself, the proper factors sum to 106.

Is 110 a perfect square?

No, 110 is not a perfect square. There is no whole number that multiplies by itself to give 110. The nearest perfect squares are 100 and 121.

What is the largest factor of 110 other than itself?

The largest factor of 110 apart from 110 itself is 55, since 110 ÷ 55 = 2.

How many factors does 110 have?

110 has 8 factors: 1, 2, 5, 10, 11, 22, 55, and 110. You can verify this from the prime factorization 2 × 5 × 11: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 110 down further with the prime factorization calculator, or compare 110 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.