Q: What is the total or count of factors of the number 13,431,222?

 A: 96

How do I find the total factors of the number 13,431,222?

Step 1

Find the prime factorization of the number 13,431,222.

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

Factor Tree
13,431,222
Factor Arrows
26,715,611
Factor Arrows
32,238,537
Factor Arrows
3746,179
Factor Arrows
7106,597
Factor Arrows
372,881
Factor Arrows
4367

The prime factorization in exponential form is: 21 x 32 x 71 x 371 x 431 x 671

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)(f + 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.

13,431,222 = 21 x 32 x 71 x 371 x 431 x 671
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(13431222) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(13431222) = (2)(3)(2)(2)(2)(2)
Down Arrow
d(13431222) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 13,431,222 and how to find them.

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