Enter Number 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
Common Core State Standards In This Lesson
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 factor
For factors in step 1, find the prime factorization for each number
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What 7 concepts are covered in the Factorization Calculator?
aliquot sum aliquot sum is the sum of all the factors of a number except the number itself digit Any of the numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to construct a number factor a 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. factorization power how many times to use the number in a multiplication prime number a natural number greater than 1 that is not a product of two smaller natural numbers. sum the total amount resulting from the addition of two or more numbers, amounts, or items
Example calculations for the Factorization Calculator
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