Q: What is the total or count of factors of the number 58,807,500?

 A: 60

How do I find the total factors of the number 58,807,500?

Step 1

Find the prime factorization of the number 58,807,500.

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

Factor Tree
58,807,500
Factor Arrows
229,403,750
Factor Arrows
214,701,875
Factor Arrows
34,900,625
Factor Arrows
5980,125
Factor Arrows
5196,025
Factor Arrows
539,205
Factor Arrows
57,841

The prime factorization in exponential form is: 22 x 31 x 54 x 7,8411

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.

58,807,500 = 22 x 31 x 54 x 7,8411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(58807500) = (2 + 1)(1 + 1)(4 + 1)(1 + 1)
Down Arrow
d(58807500) = (3)(2)(5)(2)
Down Arrow
d(58807500) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 58,807,500 and how to find them.

Try the factor calculator.

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