Q: What is the total or count of factors of the number 850,104?

 A: 24

How do I find the total factors of the number 850,104?

Step 1

Find the prime factorization of the number 850,104.

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

Factor Tree
850,104
Factor Arrows
2425,052
Factor Arrows
2212,526
Factor Arrows
2106,263
Factor Arrows
335,421
Factor Arrows
311,807

The prime factorization in exponential form is: 23 x 32 x 11,8071

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.

850,104 = 23 x 32 x 11,8071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(850104) = (3 + 1)(2 + 1)(1 + 1)
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d(850104) = (4)(3)(2)
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d(850104) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 850,104 and how to find them.

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