Q: What is the total or count of factors of the number 813,612,032?

 A: 22

How do I find the total factors of the number 813,612,032?

Step 1

Find the prime factorization of the number 813,612,032.

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

Factor Tree
813,612,032
Factor Arrows
2406,806,016
Factor Arrows
2203,403,008
Factor Arrows
2101,701,504
Factor Arrows
250,850,752
Factor Arrows
225,425,376
Factor Arrows
212,712,688
Factor Arrows
26,356,344
Factor Arrows
23,178,172
Factor Arrows
21,589,086
Factor Arrows
2794,543

The prime factorization in exponential form is: 210 x 794,5431

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

813,612,032 = 210 x 794,5431
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(813612032) = (10 + 1)(1 + 1)
Down Arrow
d(813612032) = (11)(2)
Down Arrow
d(813612032) = 22

More numbers for you to try

Take a look at the factors page to see the factors of 813,612,032 and how to find them.

Try the factor calculator.

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