Q: What is the total or count of factors of the number 6,778,716?

 A: 96

How do I find the total factors of the number 6,778,716?

Step 1

Find the prime factorization of the number 6,778,716.

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

Factor Tree
6,778,716
Factor Arrows
23,389,358
Factor Arrows
21,694,679
Factor Arrows
3564,893
Factor Arrows
780,699
Factor Arrows
174,747
Factor Arrows
47101

The prime factorization in exponential form is: 22 x 31 x 71 x 171 x 471 x 1011

Step 2

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

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 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.

6,778,716 = 22 x 31 x 71 x 171 x 471 x 1011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(6778716) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(6778716) = (3)(2)(2)(2)(2)(2)
Down Arrow
d(6778716) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 6,778,716 and how to find them.

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