Q: What is the total or count of factors of the number 107,004?

 A: 24

How do I find the total factors of the number 107,004?

Step 1

Find the prime factorization of the number 107,004.

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

Factor Tree
107,004
Factor Arrows
253,502
Factor Arrows
226,751
Factor Arrows
38,917
Factor Arrows
37241

The prime factorization in exponential form is: 22 x 31 x 371 x 2411

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.

107,004 = 22 x 31 x 371 x 2411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(107004) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(107004) = (3)(2)(2)(2)
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d(107004) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 107,004 and how to find them.

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