Q: What is the total or count of factors of the number 30,880,773?

 A: 36

How do I find the total factors of the number 30,880,773?

Step 1

Find the prime factorization of the number 30,880,773.

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

Factor Tree
30,880,773
Factor Arrows
310,293,591
Factor Arrows
33,431,197
Factor Arrows
7490,171
Factor Arrows
1144,561
Factor Arrows
114,051

The prime factorization in exponential form is: 32 x 71 x 112 x 4,0511

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)

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.

30,880,773 = 32 x 71 x 112 x 4,0511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(30880773) = (2 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(30880773) = (3)(2)(3)(2)
Down Arrow
d(30880773) = 36

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Take a look at the factors page to see the factors of 30,880,773 and how to find them.

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