Q: What is the total or count of factors of the number 585,432,208?

 A: 20

How do I find the total factors of the number 585,432,208?

Step 1

Find the prime factorization of the number 585,432,208.

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

Factor Tree
585,432,208
Factor Arrows
2292,716,104
Factor Arrows
2146,358,052
Factor Arrows
273,179,026
Factor Arrows
236,589,513
Factor Arrows
113323,801

The prime factorization in exponential form is: 24 x 1131 x 323,8011

Step 2

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

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

585,432,208 = 24 x 1131 x 323,8011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(585432208) = (4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(585432208) = (5)(2)(2)
Down Arrow
d(585432208) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 585,432,208 and how to find them.

Try the factor calculator.

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