Show Factorization for -35
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Show all factor pairs, prime factorization,
sum of factors (divisors), aliquot sum,
and prime power decomposition of -35
Factor Pair Logic Rules
1) 0 < Factor Pairs ≤ -35
2) The factor pair product = -35
Factor Pairs Table
| Number | Factor Pairs | Factor Pairs Sum |
|---|---|---|
| -35 | -35 x 1 | -34 |
| -35 | -7 x 5 | -2 |
| -35 | -5 x 7 | 2 |
| -35 | -1 x 35 | 34 |
There are 4 factor pairs of -35
List factors of -35 also known as τ(-35)
-35, -7, -5, -1, 1, 5, 7, 35
τ(-35) = 8
List odd factors of -35
-35, -7, -5, -1, 1, 5, 7, 35
List even factors of -35
Calculate proper factors of -35
Proper factors are all factors except for the number itself
in this case -35
-35, -7, -5, -1, 1, 5, 7
Prime factorization for -35
Show prime factorization:
No prime power decomposition exists since
there are no duplicate prime numbers in the prime factorization:
Show the sum of factors (divisors) for -35
-35 + 1 + -7 + 5 + -5 + 7 + -1 + 35 = 0
Show the aliquot sum:
This is the sum of all the factors except the number
-35 + -7 + 5 + -5 + 7 + -1 + 35 = -1
What is the Answer?
-35, -7, -5, -1, 1, 5, 7, 35
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
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