Q: What is the total or count of factors of the number 322,234,032?

 A: 40

How do I find the total factors of the number 322,234,032?

Step 1

Find the prime factorization of the number 322,234,032.

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

Factor Tree
322,234,032
Factor Arrows
2161,117,016
Factor Arrows
280,558,508
Factor Arrows
240,279,254
Factor Arrows
220,139,627
Factor Arrows
36,713,209
Factor Arrows
63110,639

The prime factorization in exponential form is: 24 x 31 x 6311 x 10,6391

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.

322,234,032 = 24 x 31 x 6311 x 10,6391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(322234032) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(322234032) = (5)(2)(2)(2)
Down Arrow
d(322234032) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 322,234,032 and how to find them.

Try the factor calculator.

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