Q: What is the total or count of factors of the number 41,130,231?

 A: 32

How do I find the total factors of the number 41,130,231?

Step 1

Find the prime factorization of the number 41,130,231.

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

Factor Tree
41,130,231
Factor Arrows
313,710,077
Factor Arrows
19721,583
Factor Arrows
4316,781
Factor Arrows
97173

The prime factorization in exponential form is: 31 x 191 x 431 x 971 x 1731

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)(e + 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.

41,130,231 = 31 x 191 x 431 x 971 x 1731
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(41130231) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(41130231) = (2)(2)(2)(2)(2)
Down Arrow
d(41130231) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 41,130,231 and how to find them.

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