Q: What is the total or count of factors of the number 223,255,204?

 A: 24

How do I find the total factors of the number 223,255,204?

Step 1

Find the prime factorization of the number 223,255,204.

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

Factor Tree
223,255,204
Factor Arrows
2111,627,602
Factor Arrows
255,813,801
Factor Arrows
232,426,687
Factor Arrows
1,2971,871

The prime factorization in exponential form is: 22 x 231 x 1,2971 x 1,8711

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.

223,255,204 = 22 x 231 x 1,2971 x 1,8711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(223255204) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(223255204) = (3)(2)(2)(2)
Down Arrow
d(223255204) = 24

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Take a look at the factors page to see the factors of 223,255,204 and how to find them.

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