Q: What is the total or count of factors of the number 58,158,208?

 A: 16

How do I find the total factors of the number 58,158,208?

Step 1

Find the prime factorization of the number 58,158,208.

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

Factor Tree
58,158,208
Factor Arrows
229,079,104
Factor Arrows
214,539,552
Factor Arrows
27,269,776
Factor Arrows
23,634,888
Factor Arrows
21,817,444
Factor Arrows
2908,722
Factor Arrows
2454,361

The prime factorization in exponential form is: 27 x 454,3611

Step 2

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

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

58,158,208 = 27 x 454,3611
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(58158208) = (7 + 1)(1 + 1)
Down Arrow
d(58158208) = (8)(2)
Down Arrow
d(58158208) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 58,158,208 and how to find them.

Try the factor calculator.

Explore more about the number 58,158,208:


Ask a Question