Q: What is the total or count of factors of the number 30,656?

 A: 14

How do I find the total factors of the number 30,656?

Step 1

Find the prime factorization of the number 30,656.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
30,656
Factor Arrows
215,328
Factor Arrows
27,664
Factor Arrows
23,832
Factor Arrows
21,916
Factor Arrows
2958
Factor Arrows
2479

The prime factorization in exponential form is: 26 x 4791

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

30,656 = 26 x 4791
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(30656) = (6 + 1)(1 + 1)
Down Arrow
d(30656) = (7)(2)
Down Arrow
d(30656) = 14

More numbers for you to try

Take a look at the factors page to see the factors of 30,656 and how to find them.

Try the factor calculator.

Explore more about the number 30,656:


Ask a Question