Q: What is the total or count of factors of the number 28,231,424?

 A: 72

How do I find the total factors of the number 28,231,424?

Step 1

Find the prime factorization of the number 28,231,424.

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

Factor Tree
28,231,424
Factor Arrows
214,115,712
Factor Arrows
27,057,856
Factor Arrows
23,528,928
Factor Arrows
21,764,464
Factor Arrows
2882,232
Factor Arrows
2441,116
Factor Arrows
2220,558
Factor Arrows
2110,279
Factor Arrows
138,483
Factor Arrows
17499

The prime factorization in exponential form is: 28 x 131 x 171 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.

28,231,424 = 28 x 131 x 171 x 4991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(28231424) = (8 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(28231424) = (9)(2)(2)(2)
Down Arrow
d(28231424) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 28,231,424 and how to find them.

Try the factor calculator.

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