Q: What is the total or count of factors of the number 328,344,216?

 A: 64

How do I find the total factors of the number 328,344,216?

Step 1

Find the prime factorization of the number 328,344,216.

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

Factor Tree
328,344,216
Factor Arrows
2164,172,108
Factor Arrows
282,086,054
Factor Arrows
241,043,027
Factor Arrows
313,681,009
Factor Arrows
37369,757
Factor Arrows
438,599

The prime factorization in exponential form is: 23 x 31 x 371 x 431 x 8,5991

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.

328,344,216 = 23 x 31 x 371 x 431 x 8,5991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(328344216) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(328344216) = (4)(2)(2)(2)(2)
Down Arrow
d(328344216) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 328,344,216 and how to find them.

Try the factor calculator.

Explore more about the number 328,344,216:


Ask a Question