Q: What is the total or count of factors of the number 20,100,520?

 A: 48

How do I find the total factors of the number 20,100,520?

Step 1

Find the prime factorization of the number 20,100,520.

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

Factor Tree
20,100,520
Factor Arrows
210,050,260
Factor Arrows
25,025,130
Factor Arrows
22,512,565
Factor Arrows
5502,513
Factor Arrows
1145,683
Factor Arrows
114,153

The prime factorization in exponential form is: 23 x 51 x 112 x 4,1531

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.

20,100,520 = 23 x 51 x 112 x 4,1531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(20100520) = (3 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(20100520) = (4)(2)(3)(2)
Down Arrow
d(20100520) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 20,100,520 and how to find them.

Try the factor calculator.

Explore more about the number 20,100,520:


Ask a Question