Q: What is the total or count of factors of the number 27,502,640?

 A: 40

How do I find the total factors of the number 27,502,640?

Step 1

Find the prime factorization of the number 27,502,640.

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

Factor Tree
27,502,640
Factor Arrows
213,751,320
Factor Arrows
26,875,660
Factor Arrows
23,437,830
Factor Arrows
21,718,915
Factor Arrows
5343,783
Factor Arrows
1131,253

The prime factorization in exponential form is: 24 x 51 x 111 x 31,2531

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.

27,502,640 = 24 x 51 x 111 x 31,2531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(27502640) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(27502640) = (5)(2)(2)(2)
Down Arrow
d(27502640) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 27,502,640 and how to find them.

Try the factor calculator.

Explore more about the number 27,502,640:


Ask a Question