Q: What is the total or count of factors of the number 179,304?

 A: 32

How do I find the total factors of the number 179,304?

Step 1

Find the prime factorization of the number 179,304.

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

Factor Tree
179,304
Factor Arrows
289,652
Factor Arrows
244,826
Factor Arrows
222,413
Factor Arrows
37,471
Factor Arrows
31241

The prime factorization in exponential form is: 23 x 31 x 311 x 2411

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.

179,304 = 23 x 31 x 311 x 2411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(179304) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(179304) = (4)(2)(2)(2)
Down Arrow
d(179304) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 179,304 and how to find them.

Try the factor calculator.

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