Show all factor pairs, prime factorization,
sum of factors (divisors), aliquot sum,
and prime power decomposition of 12
Factor Pair Logic Rules
1) 0 < Factor Pairs ≤ 12
2) The factor pair product = 12
Factor Pairs Table
| Number | Factor Pairs | Factor Pairs Sum |
|---|---|---|
| 12 | 1 x 12 | 13 |
| 12 | 2 x 6 | 8 |
| 12 | 3 x 4 | 7 |
There are 3 factor pairs of 12
List factors of 12 also known as τ(12)
1, 2, 3, 4, 6, 12
τ(12) = 6
List odd factors of 12
1, 3
List even factors of 12
2, 4, 6, 12
Calculate proper factors of 12
Proper factors are all factors except for the number itself
in this case 12
1, 2, 3, 4, 6
Prime factorization for 12
12 = 2 x 6 <--- 2 is a prime number
Reduce 6 to the product of primes:
6 = 3 x 2 <--- 3 is a prime number
Reduce 2 to the product of primes:
Show prime factorization:
2 x 2 x 3
Prime Power Decomposition
22 x 3
Show the sum of factors (divisors) for 12
1 + 12 + 2 + 6 + 3 + 4 = 28
Show the aliquot sum:
This is the sum of all the factors except the number
1 + 2 + 6 + 3 + 4 = 16
