Q: What is the total or count of factors of the number 14,680,816?

 A: 20

How do I find the total factors of the number 14,680,816?

Step 1

Find the prime factorization of the number 14,680,816.

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

Factor Tree
14,680,816
Factor Arrows
27,340,408
Factor Arrows
23,670,204
Factor Arrows
21,835,102
Factor Arrows
2917,551
Factor Arrows
7731,187

The prime factorization in exponential form is: 24 x 7731 x 1,1871

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.

14,680,816 = 24 x 7731 x 1,1871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(14680816) = (4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(14680816) = (5)(2)(2)
Down Arrow
d(14680816) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 14,680,816 and how to find them.

Try the factor calculator.

Explore more about the number 14,680,816:


Ask a Question