Show all factor pairs, prime factorization (factor tree), sum of factors (divisors), aliquot sum, and prime power decomposition of 110.

We do this by listing out all pairs of numbers greater than 0 and less than or equal to 110 who have a product equal to 110:

Number

Factor Pairs

Factor Pairs Sum

110

1 x 110

111

110

2 x 55

57

110

5 x 22

27

110

10 x 11

21

There are 4 factor pairs of 110.

List factors of 110

1, 2, 5, 10, 11, 22, 55, 110

List odd factors of 110

1, 5, 11, 55

List even factors of 110

2, 10, 22, 110

Calculate proper factors of 110

Proper factors are all factors except for the number itself, in this case 110 1, 2, 5, 10, 11, 22, 55

Prime factorization for 110 110 = 2 x 55 <--- 2 is a prime number

Reduce 55 to the product of primes: 55 = 5 x 11 <--- 5 is a prime number

Reduce 11 to the product of primes:

Show prime factorization:

2 x 5 x 11

No prime power decomposition exists since there are no duplicate prime numbers in the prime factorization:

Show the sum of factors (divisors) for 110

1 + 110 + 2 + 55 + 5 + 22 + 10 + 11 = 216

Show the aliquot sum:

The aliquot sum is the sum of all the factors of a number except the number itself 1 + 2 + 55 + 5 + 22 + 10 + 11 = 106

What is the Answer?

1, 2, 5, 10, 11, 22, 55, 110

How does the Factorization Calculator work?

Given a positive integer, this calculates the following for that number:
1) Factor pairs and prime factorization and prime power decomposition
2) Factors and Proper Factors
3) Aliquot Sum This calculator has 1 input.

What 3 formulas are used for the Factorization Calculator?

Find all pairs that have a product equal to the number you want to factor

For factors in step 1, find the prime factorization for each number