Q: What is the total or count of factors of the number 325,310,500?

 A: 96

How do I find the total factors of the number 325,310,500?

Step 1

Find the prime factorization of the number 325,310,500.

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

Factor Tree
325,310,500
Factor Arrows
2162,655,250
Factor Arrows
281,327,625
Factor Arrows
516,265,525
Factor Arrows
53,253,105
Factor Arrows
5650,621
Factor Arrows
4713,843
Factor Arrows
109127

The prime factorization in exponential form is: 22 x 53 x 471 x 1091 x 1271

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)

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.

325,310,500 = 22 x 53 x 471 x 1091 x 1271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(325310500) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(325310500) = (3)(4)(2)(2)(2)
Down Arrow
d(325310500) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 325,310,500 and how to find them.

Try the factor calculator.

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