Q: What is the total or count of factors of the number 126,260,128?

 A: 24

How do I find the total factors of the number 126,260,128?

Step 1

Find the prime factorization of the number 126,260,128.

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

Factor Tree
126,260,128
Factor Arrows
263,130,064
Factor Arrows
231,565,032
Factor Arrows
215,782,516
Factor Arrows
27,891,258
Factor Arrows
23,945,629
Factor Arrows
1,2893,061

The prime factorization in exponential form is: 25 x 1,2891 x 3,0611

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

126,260,128 = 25 x 1,2891 x 3,0611
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(126260128) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(126260128) = (6)(2)(2)
Down Arrow
d(126260128) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 126,260,128 and how to find them.

Try the factor calculator.

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