Q: What is the total or count of factors of the number 22,409,092?

 A: 24

How do I find the total factors of the number 22,409,092?

Step 1

Find the prime factorization of the number 22,409,092.

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

Factor Tree
22,409,092
Factor Arrows
211,204,546
Factor Arrows
25,602,273
Factor Arrows
10354,391
Factor Arrows
109499

The prime factorization in exponential form is: 22 x 1031 x 1091 x 4991

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.

22,409,092 = 22 x 1031 x 1091 x 4991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(22409092) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(22409092) = (3)(2)(2)(2)
Down Arrow
d(22409092) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 22,409,092 and how to find them.

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