Q: What is the total or count of factors of the number 323,134,504?

 A: 128

How do I find the total factors of the number 323,134,504?

Step 1

Find the prime factorization of the number 323,134,504.

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

Factor Tree
323,134,504
Factor Arrows
2161,567,252
Factor Arrows
280,783,626
Factor Arrows
240,391,813
Factor Arrows
75,770,259
Factor Arrows
11524,569
Factor Arrows
1730,857
Factor Arrows
59523

The prime factorization in exponential form is: 23 x 71 x 111 x 171 x 591 x 5231

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)(f + 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.

323,134,504 = 23 x 71 x 111 x 171 x 591 x 5231
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(323134504) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(323134504) = (4)(2)(2)(2)(2)(2)
Down Arrow
d(323134504) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 323,134,504 and how to find them.

Try the factor calculator.

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