 # Show Factorization for 110

<-- Enter Number

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:
NumberFactor PairsFactor Pairs Sum
1101 x 110111
1102 x 5557
1105 x 2227
11010 x 1121

There are 4 factor pairs of 110.

## List factors of 110

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

1, 5, 11, 55

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

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?

1. Find all pairs that have a product equal to the number you want to factor
2. For factors in step 1, find the prime factorization for each number

For more math formulas, check out our Formula Dossier

### What 7 concepts are covered in the Factorization Calculator?

aliquot sum
aliquot sum is the sum of all the factors of a number except the number itself
digit
Any of the numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to construct a number
factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
factorization
power
how many times to use the number in a multiplication
prime number
a natural number greater than 1 that is not a product of two smaller natural numbers.
sum
the total amount resulting from the addition of two or more numbers, amounts, or items