Q: What is the total or count of factors of the number 167,206,435?

 A: 32

How do I find the total factors of the number 167,206,435?

Step 1

Find the prime factorization of the number 167,206,435.

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

Factor Tree
167,206,435
Factor Arrows
533,441,287
Factor Arrows
113,040,117
Factor Arrows
23132,179
Factor Arrows
1311,009

The prime factorization in exponential form is: 51 x 111 x 231 x 1311 x 1,0091

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)(e + 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.

167,206,435 = 51 x 111 x 231 x 1311 x 1,0091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(167206435) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(167206435) = (2)(2)(2)(2)(2)
Down Arrow
d(167206435) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 167,206,435 and how to find them.

Try the factor calculator.

Explore more about the number 167,206,435:


Ask a Question