Q: What is the total or count of factors of the number 50,206,112?

 A: 96

How do I find the total factors of the number 50,206,112?

Step 1

Find the prime factorization of the number 50,206,112.

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

Factor Tree
50,206,112
Factor Arrows
225,103,056
Factor Arrows
212,551,528
Factor Arrows
26,275,764
Factor Arrows
23,137,882
Factor Arrows
21,568,941
Factor Arrows
11142,631
Factor Arrows
314,601
Factor Arrows
43107

The prime factorization in exponential form is: 25 x 111 x 311 x 431 x 1071

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)

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.

50,206,112 = 25 x 111 x 311 x 431 x 1071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(50206112) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(50206112) = (6)(2)(2)(2)(2)
Down Arrow
d(50206112) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 50,206,112 and how to find them.

Try the factor calculator.

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