Q: What is the total or count of factors of the number 367,104,717?

 A: 84

How do I find the total factors of the number 367,104,717?

Step 1

Find the prime factorization of the number 367,104,717.

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

Factor Tree
367,104,717
Factor Arrows
3122,368,239
Factor Arrows
340,789,413
Factor Arrows
313,596,471
Factor Arrows
34,532,157
Factor Arrows
31,510,719
Factor Arrows
3503,573
Factor Arrows
771,939
Factor Arrows
710,277
Factor Arrows
43239

The prime factorization in exponential form is: 36 x 72 x 431 x 2391

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.

367,104,717 = 36 x 72 x 431 x 2391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(367104717) = (6 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(367104717) = (7)(3)(2)(2)
Down Arrow
d(367104717) = 84

More numbers for you to try

Take a look at the factors page to see the factors of 367,104,717 and how to find them.

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