Q: What is the total or count of factors of the number 18,999,864?

 A: 96

How do I find the total factors of the number 18,999,864?

Step 1

Find the prime factorization of the number 18,999,864.

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

Factor Tree
18,999,864
Factor Arrows
29,499,932
Factor Arrows
24,749,966
Factor Arrows
22,374,983
Factor Arrows
3791,661
Factor Arrows
3263,887
Factor Arrows
1320,299
Factor Arrows
53383

The prime factorization in exponential form is: 23 x 32 x 131 x 531 x 3831

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.

18,999,864 = 23 x 32 x 131 x 531 x 3831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(18999864) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(18999864) = (4)(3)(2)(2)(2)
Down Arrow
d(18999864) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 18,999,864 and how to find them.

Try the factor calculator.

Explore more about the number 18,999,864:


Ask a Question