Q: What is the total or count of factors of the number 772,786,136?

 A: 16

How do I find the total factors of the number 772,786,136?

Step 1

Find the prime factorization of the number 772,786,136.

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

Factor Tree
772,786,136
Factor Arrows
2386,393,068
Factor Arrows
2193,196,534
Factor Arrows
296,598,267
Factor Arrows
175,682,251

The prime factorization in exponential form is: 23 x 171 x 5,682,2511

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.

772,786,136 = 23 x 171 x 5,682,2511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(772786136) = (3 + 1)(1 + 1)(1 + 1)
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d(772786136) = (4)(2)(2)
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d(772786136) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 772,786,136 and how to find them.

Try the factor calculator.

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