Show all factor pairs, prime factorization (factor tree), sum of factors (divisors), aliquot sum, and prime power decomposition of 50.
We do this by listing out all pairs of numbers greater than 0 and less than or equal to 50 who have a product equal to 50:
Number
Factor Pairs
Factor Pairs Sum
50
1 x 50
51
50
2 x 25
27
50
5 x 10
15
There are 3 factor pairs of 50.
List factors of 50
1, 2, 5, 10, 25, 50
List odd factors of 50
1, 5, 25
List even factors of 50
2, 10, 50
Calculate proper factors of 50
Proper factors are all factors except for the number itself, in this case 50 1, 2, 5, 10, 25
Prime factorization for 50 50 = 2 x 25 <--- 2 is a prime number
Reduce 25 to the product of primes: 25 = 5 x 5 <--- 5 is a prime number
Reduce 5 to the product of primes:
Show prime factorization:
2 x 5 x 5
Show the Prime Power Decomposition (Group Common Terms)
2 x 52
Show the sum of factors (divisors) for 50
1 + 50 + 2 + 25 + 5 + 10 = 93
Show the aliquot sum:
The aliquot sum is the sum of all the factors of a number except the number itself 1 + 2 + 25 + 5 + 10 = 43
What is the Answer?
1, 2, 5, 10, 25, 50
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
