 # Show Factorization for 50

## Enter Number

Show all factor pairs, prime factorization,
sum of factors (divisors), aliquot sum,
and prime power decomposition of 50

## Factor Pair Logic Rules

1) 0 < Factor Pairs ≤ 50
2) The factor pair product = 50

## Factor Pairs Table

NumberFactor PairsFactor Pairs Sum
501 x 5051
502 x 2527
505 x 1015

There are 3 factor pairs of 50

## List factors of 50

1, 2, 5, 10, 25, 50

1, 5, 25

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:

2 x 5 x 5

2 x 52

## Show the sum of factors (divisors) for 50

1 + 50 + 2 + 25 + 5 + 10 = 93

## Show the aliquot sum:

This is the sum of all the factors except the number
1 + 2 + 25 + 5 + 10 = 43

1, 2, 5, 10, 25, 50

### How does the Factorization Calculator work?

Free Factorization Calculator - 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