Q: What is the total or count of factors of the number 66,493,323?

 A: 24

How do I find the total factors of the number 66,493,323?

Step 1

Find the prime factorization of the number 66,493,323.

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

Factor Tree
66,493,323
Factor Arrows
322,164,441
Factor Arrows
37,388,147
Factor Arrows
13568,319
Factor Arrows
5310,723

The prime factorization in exponential form is: 32 x 131 x 531 x 10,7231

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.

66,493,323 = 32 x 131 x 531 x 10,7231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(66493323) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(66493323) = (3)(2)(2)(2)
Down Arrow
d(66493323) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 66,493,323 and how to find them.

Try the factor calculator.

Explore more about the number 66,493,323:


Ask a Question