Q: What is the total or count of factors of the number 173,607,724?

 A: 24

How do I find the total factors of the number 173,607,724?

Step 1

Find the prime factorization of the number 173,607,724.

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

Factor Tree
173,607,724
Factor Arrows
286,803,862
Factor Arrows
243,401,931
Factor Arrows
73594,547
Factor Arrows
2412,467

The prime factorization in exponential form is: 22 x 731 x 2411 x 2,4671

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.

173,607,724 = 22 x 731 x 2411 x 2,4671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(173607724) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(173607724) = (3)(2)(2)(2)
Down Arrow
d(173607724) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 173,607,724 and how to find them.

Try the factor calculator.

Explore more about the number 173,607,724:


Ask a Question