Q: What is the total or count of factors of the number 14,139,392?

 A: 30

How do I find the total factors of the number 14,139,392?

Step 1

Find the prime factorization of the number 14,139,392.

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

Factor Tree
14,139,392
Factor Arrows
27,069,696
Factor Arrows
23,534,848
Factor Arrows
21,767,424
Factor Arrows
2883,712
Factor Arrows
2441,856
Factor Arrows
2220,928
Factor Arrows
2110,464
Factor Arrows
255,232
Factor Arrows
227,616
Factor Arrows
213,808
Factor Arrows
26,904
Factor Arrows
23,452
Factor Arrows
21,726
Factor Arrows
2863

The prime factorization in exponential form is: 214 x 8631

Step 2

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

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

14,139,392 = 214 x 8631
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(14139392) = (14 + 1)(1 + 1)
Down Arrow
d(14139392) = (15)(2)
Down Arrow
d(14139392) = 30

More numbers for you to try

Take a look at the factors page to see the factors of 14,139,392 and how to find them.

Try the factor calculator.

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