Q: What is the total or count of factors of the number 232,253,514?

 A: 32

How do I find the total factors of the number 232,253,514?

Step 1

Find the prime factorization of the number 232,253,514.

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

Factor Tree
232,253,514
Factor Arrows
2116,126,757
Factor Arrows
338,708,919
Factor Arrows
312,902,973
Factor Arrows
34,300,991
Factor Arrows
37116,243

The prime factorization in exponential form is: 21 x 33 x 371 x 116,2431

Step 2

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

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

232,253,514 = 21 x 33 x 371 x 116,2431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(232253514) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(232253514) = (2)(4)(2)(2)
Down Arrow
d(232253514) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 232,253,514 and how to find them.

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