Q: What is the total or count of factors of the number 206,614,072?

 A: 32

How do I find the total factors of the number 206,614,072?

Step 1

Find the prime factorization of the number 206,614,072.

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

Factor Tree
206,614,072
Factor Arrows
2103,307,036
Factor Arrows
251,653,518
Factor Arrows
225,826,759
Factor Arrows
73,689,537
Factor Arrows
7946,703

The prime factorization in exponential form is: 23 x 71 x 791 x 46,7031

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.

206,614,072 = 23 x 71 x 791 x 46,7031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(206614072) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(206614072) = (4)(2)(2)(2)
Down Arrow
d(206614072) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 206,614,072 and how to find them.

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