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Answer

↓Steps Explained:↓

Show all factor pairs, prime factorization,

sum of factors (divisors), aliquot sum,

and prime power decomposition of 25

Factor Pair Logic Rules

1) 0 < Factor Pairs ≤ 25

2) The factor pair product = 25

Factor Pairs Table

Number	Factor Pairs	Factor Pairs Sum
25	1 x 25	26
25	5 x 5	10

There are 2 factor pairs of 25

List factors of 25 also known as τ(25)

1, 5, 25

τ(25) = 3

List odd factors of 25

1, 5, 25

List even factors of 25

Calculate proper factors of 25

Proper factors are all factors except for the number itself
in this case 25

1, 5

Prime factorization for 25

25 = 5 x 5 <--- 5 is a prime number

Reduce 5 to the product of primes:

Show prime factorization:

5 x 5

Prime Power Decomposition

5²

Show the sum of factors (divisors) for 25

1 + 25 + 5 = 31

Show the aliquot sum:

This is the sum of all the factors except the number

1 + 5 = 6

Final Answer