Q: What is the total or count of factors of the number 484,104?

 A: 32

How do I find the total factors of the number 484,104?

Step 1

Find the prime factorization of the number 484,104.

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

Factor Tree
484,104
Factor Arrows
2242,052
Factor Arrows
2121,026
Factor Arrows
260,513
Factor Arrows
320,171
Factor Arrows
23877

The prime factorization in exponential form is: 23 x 31 x 231 x 8771

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.

484,104 = 23 x 31 x 231 x 8771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(484104) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(484104) = (4)(2)(2)(2)
Down Arrow
d(484104) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 484,104 and how to find them.

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