Q: What is the total or count of factors of the number 204,300,151?

 A: 12

How do I find the total factors of the number 204,300,151?

Step 1

Find the prime factorization of the number 204,300,151.

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

Factor Tree
204,300,151
Factor Arrows
1118,572,741
Factor Arrows
111,688,431
Factor Arrows
3315,101

The prime factorization in exponential form is: 112 x 3311 x 5,1011

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.

204,300,151 = 112 x 3311 x 5,1011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(204300151) = (2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(204300151) = (3)(2)(2)
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d(204300151) = 12

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Take a look at the factors page to see the factors of 204,300,151 and how to find them.

Try the factor calculator.

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