Q: What is the total or count of factors of the number 258,104,417?

 A: 8

How do I find the total factors of the number 258,104,417?

Step 1

Find the prime factorization of the number 258,104,417.

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

Factor Tree
258,104,417
Factor Arrows
1913,584,443
Factor Arrows
30744,249

The prime factorization in exponential form is: 191 x 3071 x 44,2491

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.

258,104,417 = 191 x 3071 x 44,2491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(258104417) = (1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(258104417) = (2)(2)(2)
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d(258104417) = 8

More numbers for you to try

Take a look at the factors page to see the factors of 258,104,417 and how to find them.

Try the factor calculator.

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