Q: What is the total or count of factors of the number 13,104,216?

 A: 48

How do I find the total factors of the number 13,104,216?

Step 1

Find the prime factorization of the number 13,104,216.

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

Factor Tree
13,104,216
Factor Arrows
26,552,108
Factor Arrows
23,276,054
Factor Arrows
21,638,027
Factor Arrows
3546,009
Factor Arrows
3182,003
Factor Arrows
374,919

The prime factorization in exponential form is: 23 x 32 x 371 x 4,9191

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)

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.

13,104,216 = 23 x 32 x 371 x 4,9191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(13104216) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(13104216) = (4)(3)(2)(2)
Down Arrow
d(13104216) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 13,104,216 and how to find them.

Try the factor calculator.

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