l Show Factorization for 100

Enter Number

  

Show all factor pairs, prime factorization,

sum of factors (divisors), aliquot sum,

and prime power decomposition of 100

Factor Pair Logic Rules

1) 0 < Factor Pairs ≤ 100

2) The factor pair product = 100

Factor Pairs Table

NumberFactor PairsFactor Pairs Sum
1001 x 100101
1002 x 5052
1004 x 2529
1005 x 2025
10010 x 1020

There are 5 factor pairs of 100

List factors of 100 also known as τ(100)

1, 2, 4, 5, 10, 20, 25, 50, 100

τ(100) = 9

List odd factors of 100

1, 5, 25

List even factors of 100

2, 4, 10, 20, 50, 100

Calculate proper factors of 100

Proper factors are all factors except for the number itself
in this case 100

1, 2, 4, 5, 10, 20, 25, 50

Prime factorization for 100

100 = 2 x 50 <--- 2 is a prime number

Reduce 50 to the product of primes:

50 = 5 x 10 <--- 5 is a prime number

Reduce 10 to the product of primes:

10 = 2 x 5 <--- 2 is a prime number

Reduce 5 to the product of primes:

Show prime factorization:

2 x 2 x 5 x 5

Prime Power Decomposition

22 x 52

Show the sum of factors (divisors) for 100

1 + 100 + 2 + 50 + 4 + 25 + 5 + 20 + 10 = 217

Show the aliquot sum:

This is the sum of all the factors except the number

1 + 2 + 50 + 4 + 25 + 5 + 20 + 10 = 117

Final Answer


1, 2, 4, 5, 10, 20, 25, 50, 100