Q: What is the total or count of factors of the number 391,072?

 A: 36

How do I find the total factors of the number 391,072?

Step 1

Find the prime factorization of the number 391,072.

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

Factor Tree
391,072
Factor Arrows
2195,536
Factor Arrows
297,768
Factor Arrows
248,884
Factor Arrows
224,442
Factor Arrows
212,221
Factor Arrows
111,111
Factor Arrows
11101

The prime factorization in exponential form is: 25 x 112 x 1011

Step 2

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

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

391,072 = 25 x 112 x 1011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(391072) = (5 + 1)(2 + 1)(1 + 1)
Down Arrow
d(391072) = (6)(3)(2)
Down Arrow
d(391072) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 391,072 and how to find them.

Try the factor calculator.

Explore more about the number 391,072:


Ask a Question