Show all factor pairs, prime factorization,
sum of factors (divisors), aliquot sum,
and prime power decomposition of 36
Factor Pair Logic Rules
1) 0 < Factor Pairs ≤ 36
2) The factor pair product = 36
Factor Pairs Table
| Number | Factor Pairs | Factor Pairs Sum |
|---|---|---|
| 36 | 1 x 36 | 37 |
| 36 | 2 x 18 | 20 |
| 36 | 3 x 12 | 15 |
| 36 | 4 x 9 | 13 |
| 36 | 6 x 6 | 12 |
There are 5 factor pairs of 36
List factors of 36 also known as τ(36)
1, 2, 3, 4, 6, 9, 12, 18, 36
τ(36) = 9
List odd factors of 36
1, 3, 9
List even factors of 36
2, 4, 6, 12, 18, 36
Calculate proper factors of 36
Proper factors are all factors except for the number itself
in this case 36
1, 2, 3, 4, 6, 9, 12, 18
Prime factorization for 36
36 = 2 x 18 <--- 2 is a prime number
Reduce 18 to the product of primes:
18 = 3 x 6 <--- 3 is a prime number
Reduce 6 to the product of primes:
6 = 2 x 3 <--- 2 is a prime number
Reduce 3 to the product of primes:
Show prime factorization:
2 x 2 x 3 x 3
Prime Power Decomposition
22 x 32
Show the sum of factors (divisors) for 36
1 + 36 + 2 + 18 + 3 + 12 + 4 + 9 + 6 = 91
Show the aliquot sum:
This is the sum of all the factors except the number
1 + 2 + 18 + 3 + 12 + 4 + 9 + 6 = 55
