Q: What is the total or count of factors of the number 184,065?

 A: 16

How do I find the total factors of the number 184,065?

Step 1

Find the prime factorization of the number 184,065.

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

Factor Tree
184,065
Factor Arrows
361,355
Factor Arrows
512,271
Factor Arrows
71,753

The prime factorization in exponential form is: 31 x 51 x 71 x 1,7531

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.

184,065 = 31 x 51 x 71 x 1,7531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(184065) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(184065) = (2)(2)(2)(2)
Down Arrow
d(184065) = 16

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Take a look at the factors page to see the factors of 184,065 and how to find them.

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