Q: What is the total or count of factors of the number 811,008?

 A: 84

How do I find the total factors of the number 811,008?

Step 1

Find the prime factorization of the number 811,008.

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

Factor Tree
811,008
Factor Arrows
2405,504
Factor Arrows
2202,752
Factor Arrows
2101,376
Factor Arrows
250,688
Factor Arrows
225,344
Factor Arrows
212,672
Factor Arrows
26,336
Factor Arrows
23,168
Factor Arrows
21,584
Factor Arrows
2792
Factor Arrows
2396
Factor Arrows
2198
Factor Arrows
299
Factor Arrows
333
Factor Arrows
311

The prime factorization in exponential form is: 213 x 32 x 111

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.

811,008 = 213 x 32 x 111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(811008) = (13 + 1)(2 + 1)(1 + 1)
Down Arrow
d(811008) = (14)(3)(2)
Down Arrow
d(811008) = 84

More numbers for you to try

Take a look at the factors page to see the factors of 811,008 and how to find them.

Try the factor calculator.

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