Q: What is the total or count of factors of the number 50,245,512?

 A: 32

How do I find the total factors of the number 50,245,512?

Step 1

Find the prime factorization of the number 50,245,512.

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

Factor Tree
50,245,512
Factor Arrows
225,122,756
Factor Arrows
212,561,378
Factor Arrows
26,280,689
Factor Arrows
32,093,563
Factor Arrows
10919,207

The prime factorization in exponential form is: 23 x 31 x 1091 x 19,2071

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.

50,245,512 = 23 x 31 x 1091 x 19,2071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(50245512) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(50245512) = (4)(2)(2)(2)
Down Arrow
d(50245512) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 50,245,512 and how to find them.

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