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Show Factorization for 50

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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:
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

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?

  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

Example calculations for the Factorization Calculator

  1. prime factorization of 100
  2. factor pairs of 50
  3. factor 110
  4. multiples of 200
  5. prime power decomposition for 100

Factorization Calculator Video


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