Q: What is the total or count of factors of the number 605,715,072?

 A: 32

How do I find the total factors of the number 605,715,072?

Step 1

Find the prime factorization of the number 605,715,072.

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

Factor Tree
605,715,072
Factor Arrows
2302,857,536
Factor Arrows
2151,428,768
Factor Arrows
275,714,384
Factor Arrows
237,857,192
Factor Arrows
218,928,596
Factor Arrows
29,464,298
Factor Arrows
24,732,149
Factor Arrows
31,577,383

The prime factorization in exponential form is: 27 x 31 x 1,577,3831

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.

605,715,072 = 27 x 31 x 1,577,3831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(605715072) = (7 + 1)(1 + 1)(1 + 1)
Down Arrow
d(605715072) = (8)(2)(2)
Down Arrow
d(605715072) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 605,715,072 and how to find them.

Try the factor calculator.

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