Q: What is the total or count of factors of the number 232,850,716?

 A: 36

How do I find the total factors of the number 232,850,716?

Step 1

Find the prime factorization of the number 232,850,716.

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

Factor Tree
232,850,716
Factor Arrows
2116,425,358
Factor Arrows
258,212,679
Factor Arrows
78,316,097
Factor Arrows
16351,019
Factor Arrows
163313

The prime factorization in exponential form is: 22 x 71 x 1632 x 3131

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.

232,850,716 = 22 x 71 x 1632 x 3131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(232850716) = (2 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(232850716) = (3)(2)(3)(2)
Down Arrow
d(232850716) = 36

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Take a look at the factors page to see the factors of 232,850,716 and how to find them.

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