Q: What is the total or count of factors of the number 138,361,056?

 A: 48

How do I find the total factors of the number 138,361,056?

Step 1

Find the prime factorization of the number 138,361,056.

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

Factor Tree
138,361,056
Factor Arrows
269,180,528
Factor Arrows
234,590,264
Factor Arrows
217,295,132
Factor Arrows
28,647,566
Factor Arrows
24,323,783
Factor Arrows
31,441,261
Factor Arrows
3738,953

The prime factorization in exponential form is: 25 x 31 x 371 x 38,9531

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.

138,361,056 = 25 x 31 x 371 x 38,9531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(138361056) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(138361056) = (6)(2)(2)(2)
Down Arrow
d(138361056) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 138,361,056 and how to find them.

Try the factor calculator.

Explore more about the number 138,361,056:


Ask a Question