Q: What is the total or count of factors of the number 3,077,136?

 A: 80

How do I find the total factors of the number 3,077,136?

Step 1

Find the prime factorization of the number 3,077,136.

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

Factor Tree
3,077,136
Factor Arrows
21,538,568
Factor Arrows
2769,284
Factor Arrows
2384,642
Factor Arrows
2192,321
Factor Arrows
364,107
Factor Arrows
321,369
Factor Arrows
37,123
Factor Arrows
17419

The prime factorization in exponential form is: 24 x 33 x 171 x 4191

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.

3,077,136 = 24 x 33 x 171 x 4191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(3077136) = (4 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3077136) = (5)(4)(2)(2)
Down Arrow
d(3077136) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 3,077,136 and how to find them.

Try the factor calculator.

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