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:
50 = 1 x 50
50 = 2 x 25
50 = 5 x 10

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

Now, show the prime factorization (factor tree) for 50 by expressing it as the product of ALL prime numbers.
50 = 2 x 25 <--- 2 is a prime number

Next step is to reduce 25 to the product of prime numbers:
25 = 5 x 5 <--- 5 is a prime number

Next step is to reduce 5 to the product of prime numbers:
Our prime factorization (factor tree) is as follows:
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