Q: What is the total or count of factors of the number 34,522,605?

 A: 80

How do I find the total factors of the number 34,522,605?

Step 1

Find the prime factorization of the number 34,522,605.

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

Factor Tree
34,522,605
Factor Arrows
311,507,535
Factor Arrows
33,835,845
Factor Arrows
31,278,615
Factor Arrows
3426,205
Factor Arrows
585,241
Factor Arrows
136,557
Factor Arrows
7983

The prime factorization in exponential form is: 34 x 51 x 131 x 791 x 831

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.

34,522,605 = 34 x 51 x 131 x 791 x 831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(34522605) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(34522605) = (5)(2)(2)(2)(2)
Down Arrow
d(34522605) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 34,522,605 and how to find them.

Try the factor calculator.

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