Q: What is the total or count of factors of the number 52,500,114?

 A: 48

How do I find the total factors of the number 52,500,114?

Step 1

Find the prime factorization of the number 52,500,114.

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

Factor Tree
52,500,114
Factor Arrows
226,250,057
Factor Arrows
38,750,019
Factor Arrows
32,916,673
Factor Arrows
17171,569
Factor Arrows
374,637

The prime factorization in exponential form is: 21 x 32 x 171 x 371 x 4,6371

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.

52,500,114 = 21 x 32 x 171 x 371 x 4,6371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(52500114) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(52500114) = (2)(3)(2)(2)(2)
Down Arrow
d(52500114) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 52,500,114 and how to find them.

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