Q: What is the total or count of factors of the number 20,204,064?

 A: 108

How do I find the total factors of the number 20,204,064?

Step 1

Find the prime factorization of the number 20,204,064.

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

Factor Tree
20,204,064
Factor Arrows
210,102,032
Factor Arrows
25,051,016
Factor Arrows
22,525,508
Factor Arrows
21,262,754
Factor Arrows
2631,377
Factor Arrows
3210,459
Factor Arrows
370,153
Factor Arrows
312,263
Factor Arrows
3173

The prime factorization in exponential form is: 25 x 32 x 312 x 731

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.

20,204,064 = 25 x 32 x 312 x 731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(20204064) = (5 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(20204064) = (6)(3)(3)(2)
Down Arrow
d(20204064) = 108

More numbers for you to try

Take a look at the factors page to see the factors of 20,204,064 and how to find them.

Try the factor calculator.

Explore more about the number 20,204,064:


Ask a Question