Q: What is the total or count of factors of the number 104,143,600?

 A: 60

How do I find the total factors of the number 104,143,600?

Step 1

Find the prime factorization of the number 104,143,600.

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

Factor Tree
104,143,600
Factor Arrows
252,071,800
Factor Arrows
226,035,900
Factor Arrows
213,017,950
Factor Arrows
26,508,975
Factor Arrows
51,301,795
Factor Arrows
5260,359
Factor Arrows
1123,669

The prime factorization in exponential form is: 24 x 52 x 111 x 23,6691

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.

104,143,600 = 24 x 52 x 111 x 23,6691
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(104143600) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(104143600) = (5)(3)(2)(2)
Down Arrow
d(104143600) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 104,143,600 and how to find them.

Try the factor calculator.

Explore more about the number 104,143,600:


Ask a Question