Q: What is the total or count of factors of the number 191,872?

 A: 16

How do I find the total factors of the number 191,872?

Step 1

Find the prime factorization of the number 191,872.

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

Factor Tree
191,872
Factor Arrows
295,936
Factor Arrows
247,968
Factor Arrows
223,984
Factor Arrows
211,992
Factor Arrows
25,996
Factor Arrows
22,998
Factor Arrows
21,499

The prime factorization in exponential form is: 27 x 1,4991

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.

191,872 = 27 x 1,4991
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(191872) = (7 + 1)(1 + 1)
Down Arrow
d(191872) = (8)(2)
Down Arrow
d(191872) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 191,872 and how to find them.

Try the factor calculator.

Explore more about the number 191,872:


Ask a Question