Q: What is the total or count of factors of the number 325,035,424?

 A: 36

How do I find the total factors of the number 325,035,424?

Step 1

Find the prime factorization of the number 325,035,424.

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

Factor Tree
325,035,424
Factor Arrows
2162,517,712
Factor Arrows
281,258,856
Factor Arrows
240,629,428
Factor Arrows
220,314,714
Factor Arrows
210,157,357
Factor Arrows
71,451,051
Factor Arrows
7207,293

The prime factorization in exponential form is: 25 x 72 x 207,2931

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

325,035,424 = 25 x 72 x 207,2931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(325035424) = (5 + 1)(2 + 1)(1 + 1)
Down Arrow
d(325035424) = (6)(3)(2)
Down Arrow
d(325035424) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 325,035,424 and how to find them.

Try the factor calculator.

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