## 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 also known as τ(50)

1, 2, 5, 10, 25, 50

τ(50) = 6

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?

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

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