Q: What is the total or count of factors of the number 50,185,089?

 A: 18

How do I find the total factors of the number 50,185,089?

Step 1

Find the prime factorization of the number 50,185,089.

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

Factor Tree
50,185,089
Factor Arrows
316,728,363
Factor Arrows
35,576,121
Factor Arrows
31,858,707
Factor Arrows
3619,569
Factor Arrows
3206,523
Factor Arrows
368,841
Factor Arrows
322,947
Factor Arrows
37,649

The prime factorization in exponential form is: 38 x 7,6491

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.

50,185,089 = 38 x 7,6491
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(50185089) = (8 + 1)(1 + 1)
Down Arrow
d(50185089) = (9)(2)
Down Arrow
d(50185089) = 18

More numbers for you to try

Take a look at the factors page to see the factors of 50,185,089 and how to find them.

Try the factor calculator.

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