Q: What is the total or count of factors of the number 108,206,740?

 A: 24

How do I find the total factors of the number 108,206,740?

Step 1

Find the prime factorization of the number 108,206,740.

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

Factor Tree
108,206,740
Factor Arrows
254,103,370
Factor Arrows
227,051,685
Factor Arrows
55,410,337
Factor Arrows
31174,527

The prime factorization in exponential form is: 22 x 51 x 311 x 174,5271

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.

108,206,740 = 22 x 51 x 311 x 174,5271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(108206740) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(108206740) = (3)(2)(2)(2)
Down Arrow
d(108206740) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 108,206,740 and how to find them.

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