Q: What is the total or count of factors of the number 111,678,784?

 A: 56

How do I find the total factors of the number 111,678,784?

Step 1

Find the prime factorization of the number 111,678,784.

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

Factor Tree
111,678,784
Factor Arrows
255,839,392
Factor Arrows
227,919,696
Factor Arrows
213,959,848
Factor Arrows
26,979,924
Factor Arrows
23,489,962
Factor Arrows
21,744,981
Factor Arrows
7249,283
Factor Arrows
1092,287

The prime factorization in exponential form is: 26 x 71 x 1091 x 2,2871

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.

111,678,784 = 26 x 71 x 1091 x 2,2871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(111678784) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(111678784) = (7)(2)(2)(2)
Down Arrow
d(111678784) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 111,678,784 and how to find them.

Try the factor calculator.

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