Q: What is the total or count of factors of the number 360,516,412?

 A: 12

How do I find the total factors of the number 360,516,412?

Step 1

Find the prime factorization of the number 360,516,412.

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

Factor Tree
360,516,412
Factor Arrows
2180,258,206
Factor Arrows
290,129,103
Factor Arrows
194,743,637

The prime factorization in exponential form is: 22 x 191 x 4,743,6371

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

360,516,412 = 22 x 191 x 4,743,6371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(360516412) = (2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(360516412) = (3)(2)(2)
Down Arrow
d(360516412) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 360,516,412 and how to find them.

Try the factor calculator.

Explore more about the number 360,516,412:


Ask a Question