Q: What is the total or count of factors of the number 22,234,928?

 A: 60

How do I find the total factors of the number 22,234,928?

Step 1

Find the prime factorization of the number 22,234,928.

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

Factor Tree
22,234,928
Factor Arrows
211,117,464
Factor Arrows
25,558,732
Factor Arrows
22,779,366
Factor Arrows
21,389,683
Factor Arrows
2360,421
Factor Arrows
232,627
Factor Arrows
3771

The prime factorization in exponential form is: 24 x 232 x 371 x 711

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.

22,234,928 = 24 x 232 x 371 x 711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(22234928) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(22234928) = (5)(3)(2)(2)
Down Arrow
d(22234928) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 22,234,928 and how to find them.

Try the factor calculator.

Explore more about the number 22,234,928:


Ask a Question