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
