Q: What is the total or count of factors of the number 322,243,504?

 A: 40

How do I find the total factors of the number 322,243,504?

Step 1

Find the prime factorization of the number 322,243,504.

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

Factor Tree
322,243,504
Factor Arrows
2161,121,752
Factor Arrows
280,560,876
Factor Arrows
240,280,438
Factor Arrows
220,140,219
Factor Arrows
111,830,929
Factor Arrows
4214,349

The prime factorization in exponential form is: 24 x 111 x 4211 x 4,3491

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.

322,243,504 = 24 x 111 x 4211 x 4,3491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(322243504) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(322243504) = (5)(2)(2)(2)
Down Arrow
d(322243504) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 322,243,504 and how to find them.

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