Q: What is the total or count of factors of the number 13,801,632?

 A: 48

How do I find the total factors of the number 13,801,632?

Step 1

Find the prime factorization of the number 13,801,632.

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

Factor Tree
13,801,632
Factor Arrows
26,900,816
Factor Arrows
23,450,408
Factor Arrows
21,725,204
Factor Arrows
2862,602
Factor Arrows
2431,301
Factor Arrows
3143,767
Factor Arrows
1311,059

The prime factorization in exponential form is: 25 x 31 x 131 x 11,0591

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.

13,801,632 = 25 x 31 x 131 x 11,0591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(13801632) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(13801632) = (6)(2)(2)(2)
Down Arrow
d(13801632) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 13,801,632 and how to find them.

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