Q: What is the total or count of factors of the number 273,048,720?

 A: 80

How do I find the total factors of the number 273,048,720?

Step 1

Find the prime factorization of the number 273,048,720.

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

Factor Tree
273,048,720
Factor Arrows
2136,524,360
Factor Arrows
268,262,180
Factor Arrows
234,131,090
Factor Arrows
217,065,545
Factor Arrows
35,688,515
Factor Arrows
51,137,703
Factor Arrows
7162,529

The prime factorization in exponential form is: 24 x 31 x 51 x 71 x 162,5291

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.

273,048,720 = 24 x 31 x 51 x 71 x 162,5291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(273048720) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(273048720) = (5)(2)(2)(2)(2)
Down Arrow
d(273048720) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 273,048,720 and how to find them.

Try the factor calculator.

Explore more about the number 273,048,720:


Ask a Question