Q: What is the total or count of factors of the number 22,286,852?

 A: 24

How do I find the total factors of the number 22,286,852?

Step 1

Find the prime factorization of the number 22,286,852.

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

Factor Tree
22,286,852
Factor Arrows
211,143,426
Factor Arrows
25,571,713
Factor Arrows
7795,959
Factor Arrows
3132,543

The prime factorization in exponential form is: 22 x 71 x 3131 x 2,5431

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.

22,286,852 = 22 x 71 x 3131 x 2,5431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(22286852) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(22286852) = (3)(2)(2)(2)
Down Arrow
d(22286852) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 22,286,852 and how to find them.

Try the factor calculator.

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