Q: What is the total or count of factors of the number 122,023,032?

 A: 32

How do I find the total factors of the number 122,023,032?

Step 1

Find the prime factorization of the number 122,023,032.

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

Factor Tree
122,023,032
Factor Arrows
261,011,516
Factor Arrows
230,505,758
Factor Arrows
215,252,879
Factor Arrows
35,084,293
Factor Arrows
23321,821

The prime factorization in exponential form is: 23 x 31 x 2331 x 21,8211

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.

122,023,032 = 23 x 31 x 2331 x 21,8211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(122023032) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(122023032) = (4)(2)(2)(2)
Down Arrow
d(122023032) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 122,023,032 and how to find them.

Try the factor calculator.

Explore more about the number 122,023,032:


Ask a Question