Show Factorization for 225
Enter Number
Show all factor pairs, prime factorization,
sum of factors (divisors), aliquot sum,
and prime power decomposition of 225
Factor Pair Logic Rules
1) 0 < Factor Pairs ≤ 225
2) The factor pair product = 225
Factor Pairs Table
| Number | Factor Pairs | Factor Pairs Sum |
|---|---|---|
| 225 | 1 x 225 | 226 |
| 225 | 3 x 75 | 78 |
| 225 | 5 x 45 | 50 |
| 225 | 9 x 25 | 34 |
| 225 | 15 x 15 | 30 |
There are 5 factor pairs of 225
List factors of 225
1, 3, 5, 9, 15, 25, 45, 75, 225
List odd factors of 225
1, 3, 5, 9, 15, 25, 45, 75, 225
List even factors of 225
Calculate proper factors of 225
Proper factors are all factors except for the number itself
in this case 225
1, 3, 5, 9, 15, 25, 45, 75
Prime factorization for 225
225 = 3 x 75 <--- 3 is a prime number
Reduce 75 to the product of primes:
75 = 5 x 15 <--- 5 is a prime number
Reduce 15 to the product of primes:
15 = 3 x 5 <--- 3 is a prime number
Reduce 5 to the product of primes:
Show prime factorization:
3 x 3 x 5 x 5
Prime Power Decomposition
32 x 52
Show the sum of factors (divisors) for 225
1 + 225 + 3 + 75 + 5 + 45 + 9 + 25 + 15 = 403
Show the aliquot sum:
This is the sum of all the factors except the number
1 + 3 + 75 + 5 + 45 + 9 + 25 + 15 = 178
What is the Answer?
1, 3, 5, 9, 15, 25, 45, 75, 225
How does the Factorization Calculator work?
Free Factorization Calculator - Given a positive integer, this calculates the following for that number:
1) Factor pairs and prime factorization and prime power decomposition
2) Factors and Proper Factors 3) Aliquot Sum
This calculator has 1 input.
What 3 formulas are used for the Factorization Calculator?
Find all pairs that have a product equal to the number you want to factorFor factors in step 1, find the prime factorization for each number
For more math formulas, check out our Formula Dossier
What 7 concepts are covered in the Factorization Calculator?
aliquot sumaliquot sum is the sum of all the factors of a number except the number itselfdigitAny of the numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to construct a numberfactora divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.factorizationpowerhow many times to use the number in a multiplicationprime numbera natural number greater than 1 that is not a product of two smaller natural numbers.sumthe total amount resulting from the addition of two or more numbers, amounts, or itemsExample calculations for the Factorization Calculator
Factorization Calculator Video
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