
- Finding sum of factors of a number using prime factorization- It's factors are $1, 5, 7, 25, 35, 49, 175, 245, 1225 $ and the sum of factors are $1767$. A simple algorithm that is described to find the sum of the factors is using prime factorization. 
- How to get all the factors of a number using its prime factorization ...- May 16, 2018 · The factors of $9=3^2$ are $3^0, 3^1, 3^2$ aka $1,3,9$. Now the factors of $72$ can be made up by combining two numbers chosen, one from each of these two sets: 
- How to determine the smallest numbers with $n$ factors- Oct 23, 2017 · In this case, we want to create the lowest numbers with 12 factors, so we can use the first prime numbers $2$, $3$, and $5$, and arrange them in such a way that we get the … 
- "Divisors" vs "factors" - Mathematics Stack Exchange- Nov 1, 2020 · Is there a difference between divisors and factors? Are they the same or are there differences? Example: Find the factors and divisors of 18. What I have found is answers that … 
- Are there any tricks or shortcuts to prime factorization?- I am having a hard time finding the prime factorization of different numbers. Here is an example: $924=2^2 * 3 *7 *11$ Are there any shortcuts or tricks that lead to the prime factorization? … 
- How many positive integers are factors of a given number?- Feb 5, 2013 · Given a number, how many positive integers are factors of this number. In practice, you could simply build a table as such (lets assume the number is 36): 1 | 36 2 | 18 3 | 12 4 | 9 … 
- Which positive whole number below 100 has the most number of …- Jan 27, 2021 · This question adresses the question about a mathematical function which outputs the number of factors. The numbers under 100 with most factors are $60=2^2\cdot3\cdot5$, … 
- Finding the number of factors - Mathematics Stack Exchange- Aug 14, 2022 · To find the number of factors of a number, we can prime factorise that number and add one to every power, before multiplying those powers together. By why can every factor of … 
- Negative factors of a number - Mathematics Stack Exchange- Can a factor of a number be negative? Is $-5$ a factor of $25$ or $-25$? A number is said to be prime if it has two factors : $1$ and the number itself. So if $-5$ can be a factor of $5$, how to ... 
- Is there a formula to calculate the sum of all proper divisors of a ...- Feb 19, 2011 · A positive integer factor is the product of 0, 1, 2, or 3 factors of 2, 0 or 1 factor of 3, and 0 or 1 factor of 5. Expanding $ (1+2+2^2+2^3) (1+3) (1+5)$ gives the sum of all possible …