Q: What is the total or count of factors of the number 323,204?

 A: 36

How do I find the total factors of the number 323,204?

Step 1

Find the prime factorization of the number 323,204.

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

Factor Tree
323,204
Factor Arrows
2161,602
Factor Arrows
280,801
Factor Arrows
711,543
Factor Arrows
71,649
Factor Arrows
1797

The prime factorization in exponential form is: 22 x 72 x 171 x 971

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.

323,204 = 22 x 72 x 171 x 971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(323204) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(323204) = (3)(3)(2)(2)
Down Arrow
d(323204) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 323,204 and how to find them.

Try the factor calculator.

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