Q: What is the total or count of factors of the number 232,192?

 A: 18

How do I find the total factors of the number 232,192?

Step 1

Find the prime factorization of the number 232,192.

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

Factor Tree
232,192
Factor Arrows
2116,096
Factor Arrows
258,048
Factor Arrows
229,024
Factor Arrows
214,512
Factor Arrows
27,256
Factor Arrows
23,628
Factor Arrows
21,814
Factor Arrows
2907

The prime factorization in exponential form is: 28 x 9071

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.

232,192 = 28 x 9071
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(232192) = (8 + 1)(1 + 1)
Down Arrow
d(232192) = (9)(2)
Down Arrow
d(232192) = 18

More numbers for you to try

Take a look at the factors page to see the factors of 232,192 and how to find them.

Try the factor calculator.

Explore more about the number 232,192:


Ask a Question